476985600 has 729 divisors, whose sum is σ = 2148087123. Its totient is φ = 100638720.

The previous prime is 476985583. The next prime is 476985601. The reversal of 476985600 is 6589674.

The square root of 476985600 is 21840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 122943744 + 354041856 = 11088^2 + 18816^2 .

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

It is not an unprimeable number, because it can be changed into a prime (476985601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36691194 + ... + 36691206.

Almost surely, 2^476985600 is an apocalyptic number.

476985600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

476985600 is the 21840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476985600

476985600 is an abundant number, since it is smaller than the sum of its proper divisors (1671101523).

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

476985600 is a wasteful number, since it uses less digits than its factorization.

476985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 476985600 is about 781.3310606024.

The spelling of 476985600 in words is "four hundred seventy-six million, nine hundred eighty-five thousand, six hundred".