382800040 has 64 divisors (see below), whose sum is σ = 1027157760. Its totient is φ = 125537280.

The previous prime is 382800037. The next prime is 382800053. The reversal of 382800040 is 40008283.

It is a junction number, because it is equal to n+sod(n) for n = 382799978 and 382800014.

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, 23281 + ... + 36160.

It is an arithmetic number, because the mean of its divisors is an integer number (16049340).

Almost surely, 2^382800040 is an apocalyptic number.

It is an amenable number.

382800040 is an abundant number, since it is smaller than the sum of its proper divisors (644357720).

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

382800040 is a wasteful number, since it uses less digits than its factorization.

382800040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59482 (or 59478 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 382800040 is about 19565.2763844521. The cubic root of 382800040 is about 726.0903387901.

The spelling of 382800040 in words is "three hundred eighty-two million, eight hundred thousand, forty".