476256000 has 432 divisors, whose sum is σ = 1781174304. Its totient is φ = 112640000.

The previous prime is 476255981. The next prime is 476256013. The reversal of 476256000 is 652674.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11615980 + ... + 11616020.

Almost surely, 2^476256000 is an apocalyptic number.

476256000 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 476256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890587152).

476256000 is an abundant number, since it is smaller than the sum of its proper divisors (1304918304).

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

476256000 is a wasteful number, since it uses less digits than its factorization.

476256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 476256000 is about 21823.2903110416. The cubic root of 476256000 is about 780.9324811035.

The spelling of 476256000 in words is "four hundred seventy-six million, two hundred fifty-six thousand".