374720400 has 90 divisors (see below), whose sum is σ = 1300396370. Its totient is φ = 99924480.

The previous prime is 374720389. The next prime is 374720429. The reversal of 374720400 is 4027473.

It can be written as a sum of positive squares in 3 ways, for example, as 72795024 + 301925376 = 8532^2 + 17376^2 .

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

It is a congruent number.

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, 48445 + ... + 55644.

Almost surely, 2^374720400 is an apocalyptic number.

374720400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

374720400 is an abundant number, since it is smaller than the sum of its proper divisors (925675970).

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

374720400 is a wasteful number, since it uses less digits than its factorization.

374720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104113 (or 104099 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 374720400 is about 19357.6961439113. The cubic root of 374720400 is about 720.9455170456.

Adding to 374720400 its reverse (4027473), we get a palindrome (378747873).

The spelling of 374720400 in words is "three hundred seventy-four million, seven hundred twenty thousand, four hundred".