477888768 has 432 divisors, whose sum is σ = 1761600960. Its totient is φ = 126959616.

The previous prime is 477888737. The next prime is 477888797. The reversal of 477888768 is 867888774.

477888768 is a `hidden beast` number, since 477 + 88 + 87 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (33718272) is a multiple of the sum of its prime divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5757655 + ... + 5757737.

It is an arithmetic number, because the mean of its divisors is an integer number (4077780).

Almost surely, 2^477888768 is an apocalyptic number.

477888768 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 477888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880800480).

477888768 is an abundant number, since it is smaller than the sum of its proper divisors (1283712192).

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

477888768 is a wasteful number, since it uses less digits than its factorization.

477888768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its digits is 33718272, while the sum is 63.

The square root of 477888768 is about 21860.6671444400. The cubic root of 477888768 is about 781.8238974819.

The spelling of 477888768 in words is "four hundred seventy-seven million, eight hundred eighty-eight thousand, seven hundred sixty-eight".