474251400 has 432 divisors, whose sum is σ = 1957129200. Its totient is φ = 102332160.

The previous prime is 474251399. The next prime is 474251441. The reversal of 474251400 is 4152474.

474251400 is a `hidden beast` number, since 4 + 7 + 4 + 251 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1675659 + ... + 1675941.

Almost surely, 2^474251400 is an apocalyptic number.

474251400 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 474251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978564600).

474251400 is an abundant number, since it is smaller than the sum of its proper divisors (1482877800).

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

474251400 is a wasteful number, since it uses less digits than its factorization.

474251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 474251400 is about 21777.3138839481. The cubic root of 474251400 is about 779.8352709331.

The spelling of 474251400 in words is "four hundred seventy-four million, two hundred fifty-one thousand, four hundred".