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474640 = 24517349
BaseRepresentation
bin1110011111000010000
3220010002021
41303320100
5110142030
614101224
74014535
oct1637020
9803067
10474640
112a4671
121aa814
1313806a
14c4d8c
159597a
hex73e10

474640 has 40 divisors (see below), whose sum is σ = 1171800. Its totient is φ = 178176.

The previous prime is 474629. The next prime is 474647. The reversal of 474640 is 46474.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 327184 = 384^2 + 572^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (474647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1186 + ... + 1534.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2474640 is an apocalyptic number.

474640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585900).

474640 is an abundant number, since it is smaller than the sum of its proper divisors (697160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

474640 is a wasteful number, since it uses less digits than its factorization.

474640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 474640 is about 688.9412166506. The cubic root of 474640 is about 78.0048210914.

The spelling of 474640 in words is "four hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 349 680 698 1360 1396 1745 2792 3490 5584 5933 6980 11866 13960 23732 27920 29665 47464 59330 94928 118660 237320 474640