370465920 has 256 divisors, whose sum is σ = 1432080000. Its totient is φ = 89763840.

The previous prime is 370465877. The next prime is 370465987. The reversal of 370465920 is 29564073.

370465920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 189106 + ... + 191054.

Almost surely, 2^370465920 is an apocalyptic number.

370465920 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 370465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716040000).

370465920 is an abundant number, since it is smaller than the sum of its proper divisors (1061614080).

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

370465920 is a wasteful number, since it uses less digits than its factorization.

370465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 370465920 is about 19247.4912650974. The cubic root of 370465920 is about 718.2066479983.

The spelling of 370465920 in words is "three hundred seventy million, four hundred sixty-five thousand, nine hundred twenty".