477902304 has 144 divisors (see below), whose sum is σ = 1507497264. Its totient is φ = 142387200.

The previous prime is 477902291. The next prime is 477902309. The reversal of 477902304 is 403209774.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×477902304² = 456781224337016832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477902309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192012 + ... + 194484.

It is an arithmetic number, because the mean of its divisors is an integer number (10468731).

Almost surely, 2^477902304 is an apocalyptic number.

477902304 is a gapful number since it is divisible by the number (44) 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 477902304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753748632).

477902304 is an abundant number, since it is smaller than the sum of its proper divisors (1029594960).

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

477902304 is a wasteful number, since it uses less digits than its factorization.

477902304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 477902304 is about 21860.9767393866. The cubic root of 477902304 is about 781.8312790241.

The spelling of 477902304 in words is "four hundred seventy-seven million, nine hundred two thousand, three hundred four".