474400384 has 32 divisors (see below), whose sum is σ = 970647300. Its totient is φ = 230787072.

The previous prime is 474400337. The next prime is 474400391. The reversal of 474400384 is 483004474.

It can be written as a sum of positive squares in 2 ways, for example, as 468289600 + 6110784 = 21640^2 + 2472^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 45349 + ... + 54820.

Almost surely, 2^474400384 is an apocalyptic number.

It is an amenable number.

474400384 is an abundant number, since it is smaller than the sum of its proper divisors (496246916).

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

474400384 is a wasteful number, since it uses less digits than its factorization.

474400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100220 (or 100208 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The square root of 474400384 is about 21780.7342392308. The cubic root of 474400384 is about 779.9169229950.

The spelling of 474400384 in words is "four hundred seventy-four million, four hundred thousand, three hundred eighty-four".