374556960 has 120 divisors (see below), whose sum is σ = 1321919676. Its totient is φ = 99878400.

The previous prime is 374556947. The next prime is 374556967. The reversal of 374556960 is 69655473.

374556960 is a `hidden beast` number, since 3 + 7 + 4 + 556 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 338412816 + 36144144 = 18396^2 + 6012^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (374556967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1491 + ... + 27410.

Almost surely, 2^374556960 is an apocalyptic number.

374556960 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 374556960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660959838).

374556960 is an abundant number, since it is smaller than the sum of its proper divisors (947362716).

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

374556960 is a wasteful number, since it uses less digits than its factorization.

374556960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28928 (or 28911 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 374556960 is about 19353.4741067334. The cubic root of 374556960 is about 720.8406846864.

The spelling of 374556960 in words is "three hundred seventy-four million, five hundred fifty-six thousand, nine hundred sixty".