381257760 has 96 divisors (see below), whose sum is σ = 1293364800. Its totient is φ = 93846528.

The previous prime is 381257707. The next prime is 381257771. The reversal of 381257760 is 67752183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 24310 + ... + 36789.

It is an arithmetic number, because the mean of its divisors is an integer number (13472550).

Almost surely, 2^381257760 is an apocalyptic number.

381257760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381257760 is an abundant number, since it is smaller than the sum of its proper divisors (912107040).

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

381257760 is a wasteful number, since it uses less digits than its factorization.

381257760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61130 (or 61122 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 381257760 is about 19525.8229019931. The cubic root of 381257760 is about 725.1139004560.

The spelling of 381257760 in words is "three hundred eighty-one million, two hundred fifty-seven thousand, seven hundred sixty".