477452976000 has 2048 divisors, whose sum is σ = 2241224294400. Its totient is φ = 86593536000.

The previous prime is 477452975977. The next prime is 477452976029. The reversal of 477452976000 is 679254774.

It is a super-2 number, since 2×477452976000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 912911739 + ... + 912912261.

It is an arithmetic number, because the mean of its divisors is an integer number (1094347800).

Almost surely, 2^477452976000 is an apocalyptic number.

477452976000 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 477452976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120612147200).

477452976000 is an abundant number, since it is smaller than the sum of its proper divisors (1763771318400).

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

477452976000 is a wasteful number, since it uses less digits than its factorization.

477452976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 477452976000 in words is "four hundred seventy-seven billion, four hundred fifty-two million, nine hundred seventy-six thousand".