381086400 has 84 divisors (see below), whose sum is σ = 1250296712. Its totient is φ = 101621760.

The previous prime is 381086389. The next prime is 381086411. The reversal of 381086400 is 4680183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (381086389) and next prime (381086411).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34897 + ... + 44496.

Almost surely, 2^381086400 is an apocalyptic number.

381086400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381086400 is an abundant number, since it is smaller than the sum of its proper divisors (869210312).

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

381086400 is a wasteful number, since it uses less digits than its factorization.

381086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79418 (or 79403 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 381086400 is about 19521.4343735290. The cubic root of 381086400 is about 725.0052476830.

The spelling of 381086400 in words is "three hundred eighty-one million, eighty-six thousand, four hundred".