374960400 has 120 divisors (see below), whose sum is σ = 1208092320. Its totient is φ = 99409920.

The previous prime is 374960363. The next prime is 374960419. The reversal of 374960400 is 4069473.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230791 + ... + 232409.

It is an arithmetic number, because the mean of its divisors is an integer number (10067436).

Almost surely, 2^374960400 is an apocalyptic number.

374960400 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 374960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604046160).

374960400 is an abundant number, since it is smaller than the sum of its proper divisors (833131920).

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

374960400 is a wasteful number, since it uses less digits than its factorization.

374960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 374960400 is about 19363.8942364391. The cubic root of 374960400 is about 721.0994006677.

The spelling of 374960400 in words is "three hundred seventy-four million, nine hundred sixty thousand, four hundred".