393631056 has 640 divisors, whose sum is σ = 1599897600. Its totient is φ = 89579520.

The previous prime is 393631013. The next prime is 393631057. The reversal of 393631056 is 650136393.

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

It is a self number, because there is not a number n which added to its sum of digits gives 393631056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393631057) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12697761 + ... + 12697791.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^393631056 is an apocalyptic number.

393631056 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 393631056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799948800).

393631056 is an abundant number, since it is smaller than the sum of its proper divisors (1206266544).

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

393631056 is a wasteful number, since it uses less digits than its factorization.

393631056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 393631056 is about 19840.1374995235. The cubic root of 393631056 is about 732.8747939683.

The spelling of 393631056 in words is "three hundred ninety-three million, six hundred thirty-one thousand, fifty-six".