382989600 has 576 divisors, whose sum is σ = 1687392000. Its totient is φ = 81838080.

The previous prime is 382989587. The next prime is 382989611. The reversal of 382989600 is 6989283.

382989600 is a `hidden beast` number, since 38 + 2 + 9 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2570326 + ... + 2570474.

It is an arithmetic number, because the mean of its divisors is an integer number (2929500).

Almost surely, 2^382989600 is an apocalyptic number.

382989600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843696000).

382989600 is an abundant number, since it is smaller than the sum of its proper divisors (1304402400).

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

382989600 is a wasteful number, since it uses less digits than its factorization.

382989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 382989600 is about 19570.1200813894. The cubic root of 382989600 is about 726.2101706931.

The spelling of 382989600 in words is "three hundred eighty-two million, nine hundred eighty-nine thousand, six hundred".