477290880 has 512 divisors, whose sum is σ = 1927065600. Its totient is φ = 111974400.

The previous prime is 477290873. The next prime is 477290899. The reversal of 477290880 is 88092774.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15396465 + ... + 15396495.

It is an arithmetic number, because the mean of its divisors is an integer number (3763800).

Almost surely, 2^477290880 is an apocalyptic number.

477290880 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 477290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963532800).

477290880 is an abundant number, since it is smaller than the sum of its proper divisors (1449774720).

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

477290880 is an equidigital number, since it uses as much as digits as its factorization.

477290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 477290880 is about 21846.9878930712. The cubic root of 477290880 is about 781.4977140454.

It can be divided in two parts, 47 and 7290880, that added together give a palindrome (7290927).

The spelling of 477290880 in words is "four hundred seventy-seven million, two hundred ninety thousand, eight hundred eighty".