476640 has 72 divisors (see below), whose sum is σ = 1631448. Its totient is φ = 126720.

The previous prime is 476639. The next prime is 476647. The reversal of 476640 is 46674.

476640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 476640.

It is not an unprimeable number, because it can be changed into a prime (476647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1275 + ... + 1605.

It is an arithmetic number, because the mean of its divisors is an integer number (22659).

2⁴⁷⁶⁶⁴⁰ is an apocalyptic number.

476640 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 476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815724).

476640 is an abundant number, since it is smaller than the sum of its proper divisors (1154808).

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

476640 is a wasteful number, since it uses less digits than its factorization.

476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 476640 is about 690.3911934548. The cubic root of 476640 is about 78.1142310490.

The spelling of 476640 in words is "four hundred seventy-six thousand, six hundred forty".