381557952 has 140 divisors (see below), whose sum is σ = 1145148840. Its totient is φ = 125604864.

The previous prime is 381557941. The next prime is 381557977. The reversal of 381557952 is 259755183.

381557952 is a `hidden beast` number, since 3 + 8 + 1 + 557 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 381557898 and 381557907.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 460963 + ... + 461789.

Almost surely, 2^381557952 is an apocalyptic number.

381557952 is a gapful number since it is divisible by the number (32) 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 381557952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572574420).

381557952 is an abundant number, since it is smaller than the sum of its proper divisors (763590888).

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

381557952 is an equidigital number, since it uses as much as digits as its factorization.

381557952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 921 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 381557952 is about 19533.5084406258. The cubic root of 381557952 is about 725.3041621895.

The spelling of 381557952 in words is "three hundred eighty-one million, five hundred fifty-seven thousand, nine hundred fifty-two".