374000400 has 90 divisors (see below), whose sum is σ = 1297897770. Its totient is φ = 99732480.

The previous prime is 374000377. The next prime is 374000411. The reversal of 374000400 is 4000473.

It can be written as a sum of positive squares in 3 ways, for example, as 42614784 + 331385616 = 6528^2 + 18204^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48345 + ... + 55544.

Almost surely, 2^374000400 is an apocalyptic number.

374000400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

374000400 is an abundant number, since it is smaller than the sum of its proper divisors (923897370).

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

374000400 is a wasteful number, since it uses less digits than its factorization.

374000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103913 (or 103899 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 374000400 is about 19339.0899475648. The cubic root of 374000400 is about 720.4834715781.

Adding to 374000400 its reverse (4000473), we get a palindrome (378000873).

The spelling of 374000400 in words is "three hundred seventy-four million, four hundred", and thus it is an aban number.