396982560 has 192 divisors, whose sum is σ = 1361017728. Its totient is φ = 96681984.

The previous prime is 396982549. The next prime is 396982567. The reversal of 396982560 is 65289693.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (396982567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704839 + ... + 705401.

It is an arithmetic number, because the mean of its divisors is an integer number (7088634).

Almost surely, 2^396982560 is an apocalyptic number.

396982560 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 396982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680508864).

396982560 is an abundant number, since it is smaller than the sum of its proper divisors (964035168).

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

396982560 is a wasteful number, since it uses less digits than its factorization.

396982560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 396982560 is about 19924.4211961101. The cubic root of 396982560 is about 734.9488973680.

The spelling of 396982560 in words is "three hundred ninety-six million, nine hundred eighty-two thousand, five hundred sixty".