374054400 has 360 divisors, whose sum is σ = 1424801664. Its totient is φ = 93388800.

The previous prime is 374054393. The next prime is 374054431. The reversal of 374054400 is 4450473.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1958305 + ... + 1958495.

Almost surely, 2^374054400 is an apocalyptic number.

374054400 is a gapful number since it is divisible by the number (30) 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 374054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712400832).

374054400 is an abundant number, since it is smaller than the sum of its proper divisors (1050747264).

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

374054400 is a wasteful number, since it uses less digits than its factorization.

374054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 374054400 is about 19340.4860331895. The cubic root of 374054400 is about 720.5181455474.

The spelling of 374054400 in words is "three hundred seventy-four million, fifty-four thousand, four hundred".