382561800 has 48 divisors (see below), whose sum is σ = 1185943440. Its totient is φ = 102016320.

The previous prime is 382561799. The next prime is 382561801. The reversal of 382561800 is 8165283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (382561799) and next prime (382561801).

It is not an unprimeable number, because it can be changed into a prime (382561801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318202 + ... + 319401.

It is an arithmetic number, because the mean of its divisors is an integer number (24707155).

Almost surely, 2^382561800 is an apocalyptic number.

382561800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382561800 is an abundant number, since it is smaller than the sum of its proper divisors (803381640).

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

382561800 is a wasteful number, since it uses less digits than its factorization.

382561800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637622 (or 637613 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 382561800 is about 19559.1870996726. The cubic root of 382561800 is about 725.9396773108.

The spelling of 382561800 in words is "three hundred eighty-two million, five hundred sixty-one thousand, eight hundred".