381590160 has 320 divisors, whose sum is σ = 1481048064. Its totient is φ = 79257600.

The previous prime is 381590159. The next prime is 381590201. The reversal of 381590160 is 61095183.

381590160 = T₂₁₄₁ + T₂₁₄₂ + ... + T₂₂₉₅.

It is a super-2 number, since 2×381590160² = 291222100417651200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 885145 + ... + 885575.

Almost surely, 2^381590160 is an apocalyptic number.

381590160 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 381590160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740524032).

381590160 is an abundant number, since it is smaller than the sum of its proper divisors (1099457904).

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

381590160 is a wasteful number, since it uses less digits than its factorization.

381590160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 381590160 is about 19534.3328526981. The cubic root of 381590160 is about 725.3245696960.

The spelling of 381590160 in words is "three hundred eighty-one million, five hundred ninety thousand, one hundred sixty".