477407328 has 96 divisors (see below), whose sum is σ = 1357969536. Its totient is φ = 146270208.

The previous prime is 477407323. The next prime is 477407339. The reversal of 477407328 is 823704774.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×477407328³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 477407328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477407323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66775 + ... + 73577.

It is an arithmetic number, because the mean of its divisors is an integer number (14145516).

Almost surely, 2^477407328 is an apocalyptic number.

477407328 is a gapful number since it is divisible by the number (48) 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 477407328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678984768).

477407328 is an abundant number, since it is smaller than the sum of its proper divisors (880562208).

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

477407328 is a wasteful number, since it uses less digits than its factorization.

477407328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The square root of 477407328 is about 21849.6528118870. The cubic root of 477407328 is about 781.5612647015.

The spelling of 477407328 in words is "four hundred seventy-seven million, four hundred seven thousand, three hundred twenty-eight".