382624560 has 200 divisors, whose sum is σ = 1341717696. Its totient is φ = 101053440.

The previous prime is 382624549. The next prime is 382624577. The reversal of 382624560 is 65426283.

382624560 is a `hidden beast` number, since 38 + 2 + 62 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 887545 + ... + 887975.

Almost surely, 2^382624560 is an apocalyptic number.

382624560 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 382624560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670858848).

382624560 is an abundant number, since it is smaller than the sum of its proper divisors (959093136).

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

382624560 is a wasteful number, since it uses less digits than its factorization.

382624560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 382624560 is about 19560.7913950331. The cubic root of 382624560 is about 725.9793724076.

The spelling of 382624560 in words is "three hundred eighty-two million, six hundred twenty-four thousand, five hundred sixty".