396244236960 has 2304 divisors, whose sum is σ = 1804854804480. Its totient is φ = 81293414400.

The previous prime is 396244236931. The next prime is 396244237007. The reversal of 396244236960 is 69632442693.

396244236960 is a `hidden beast` number, since 3 + 9 + 624 + 4 + 2 + 3 + 6 + 9 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 396244236897 and 396244236906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12782072145 + ... + 12782072175.

It is an arithmetic number, because the mean of its divisors is an integer number (783357120).

Almost surely, 2^396244236960 is an apocalyptic number.

396244236960 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 396244236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902427402240).

396244236960 is an abundant number, since it is smaller than the sum of its proper divisors (1408610567520).

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

396244236960 is a wasteful number, since it uses less digits than its factorization.

396244236960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 396244236960 in words is "three hundred ninety-six billion, two hundred forty-four million, two hundred thirty-six thousand, nine hundred sixty".