477890688 has 128 divisors (see below), whose sum is σ = 1445299200. Its totient is φ = 138490880.

The previous prime is 477890683. The next prime is 477890701. The reversal of 477890688 is 886098774.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×477890688² = 456759019354226688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477890683) 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, 94693 + ... + 99611.

It is an arithmetic number, because the mean of its divisors is an integer number (11291400).

Almost surely, 2^477890688 is an apocalyptic number.

477890688 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 477890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722649600).

477890688 is an abundant number, since it is smaller than the sum of its proper divisors (967408512).

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

477890688 is a wasteful number, since it uses less digits than its factorization.

477890688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The square root of 477890688 is about 21860.7110588837. The cubic root of 477890688 is about 781.8249445176.

The spelling of 477890688 in words is "four hundred seventy-seven million, eight hundred ninety thousand, six hundred eighty-eight".