474924954240 has 896 divisors, whose sum is σ = 1921661884800. Its totient is φ = 111128371200.

The previous prime is 474924954233. The next prime is 474924954247. The reversal of 474924954240 is 42459429474.

474924954240 is a `hidden beast` number, since 4 + 7 + 4 + 92 + 4 + 9 + 542 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (474924954233) and next prime (474924954247).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (474924954247) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 148831045 + ... + 148834235.

It is an arithmetic number, because the mean of its divisors is an integer number (2144711925).

Almost surely, 2^474924954240 is an apocalyptic number.

474924954240 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 474924954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960830942400).

474924954240 is an abundant number, since it is smaller than the sum of its proper divisors (1446736930560).

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

474924954240 is a wasteful number, since it uses less digits than its factorization.

474924954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 474924954240 in words is "four hundred seventy-four billion, nine hundred twenty-four million, nine hundred fifty-four thousand, two hundred forty".