384292656 has 240 divisors, whose sum is σ = 1234920960. Its totient is φ = 110522880.

The previous prime is 384292639. The next prime is 384292661. The reversal of 384292656 is 656292483.

384292656 is a `hidden beast` number, since 384 + 2 + 9 + 265 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4629991 + ... + 4630073.

It is an arithmetic number, because the mean of its divisors is an integer number (5145504).

Almost surely, 2^384292656 is an apocalyptic number.

384292656 is a gapful number since it is divisible by the number (36) 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 384292656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617460480).

384292656 is an abundant number, since it is smaller than the sum of its proper divisors (850628304).

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

384292656 is a wasteful number, since it uses less digits than its factorization.

384292656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 384292656 is about 19603.3837895400. The cubic root of 384292656 is about 727.0328399816.

The spelling of 384292656 in words is "three hundred eighty-four million, two hundred ninety-two thousand, six hundred fifty-six".