374965920 has 144 divisors (see below), whose sum is σ = 1462406400. Its totient is φ = 85704192.

The previous prime is 374965919. The next prime is 374965939. The reversal of 374965920 is 29569473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×374965920² = 281198882322892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8520 + ... + 28679.

It is an arithmetic number, because the mean of its divisors is an integer number (10155600).

Almost surely, 2^374965920 is an apocalyptic number.

374965920 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 374965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

374965920 is an abundant number, since it is smaller than the sum of its proper divisors (1087440480).

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

374965920 is a wasteful number, since it uses less digits than its factorization.

374965920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37227 (or 37216 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 374965920 is about 19364.0367692276. The cubic root of 374965920 is about 721.1029392184.

The spelling of 374965920 in words is "three hundred seventy-four million, nine hundred sixty-five thousand, nine hundred twenty".