475574400 has 432 divisors, whose sum is σ = 1979870490. Its totient is φ = 108380160.

The previous prime is 475574383. The next prime is 475574419. The reversal of 475574400 is 4475574.

475574400 is a `hidden beast` number, since 47 + 5 + 574 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 299428416 + 176145984 = 17304^2 + 13272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1411032 + ... + 1411368.

Almost surely, 2^475574400 is an apocalyptic number.

475574400 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 475574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989935245).

475574400 is an abundant number, since it is smaller than the sum of its proper divisors (1504296090).

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

475574400 is a wasteful number, since it uses less digits than its factorization.

475574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 475574400 is about 21807.6683760552. The cubic root of 475574400 is about 780.5597559938.

The spelling of 475574400 in words is "four hundred seventy-five million, five hundred seventy-four thousand, four hundred".