382542800 has 30 divisors (see below), whose sum is σ = 919060038. Its totient is φ = 153016960.

The previous prime is 382542793. The next prime is 382542829. The reversal of 382542800 is 8245283.

It can be written as a sum of positive squares in 3 ways, for example, as 7268416 + 375274384 = 2696^2 + 19372^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 477779 + ... + 478578.

Almost surely, 2^382542800 is an apocalyptic number.

It is an amenable number.

382542800 is an abundant number, since it is smaller than the sum of its proper divisors (536517238).

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

382542800 is a wasteful number, since it uses less digits than its factorization.

382542800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956375 (or 956364 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 382542800 is about 19558.7013883847. The cubic root of 382542800 is about 725.9276591374.

The spelling of 382542800 in words is "three hundred eighty-two million, five hundred forty-two thousand, eight hundred".