396876960 has 216 divisors, whose sum is σ = 1418504724. Its totient is φ = 101038080.

The previous prime is 396876943. The next prime is 396876989. The reversal of 396876960 is 69678693.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 384003216 + 12873744 = 19596^2 + 3588^2 .

It is a super-2 number, since 2×396876960² = 315022642757683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 396876897 and 396876906.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761500 + ... + 762020.

Almost surely, 2^396876960 is an apocalyptic number.

396876960 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 396876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709252362).

396876960 is an abundant number, since it is smaller than the sum of its proper divisors (1021627764).

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

396876960 is a wasteful number, since it uses less digits than its factorization.

396876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 396876960 is about 19921.7710056109. The cubic root of 396876960 is about 734.8837244913.

The spelling of 396876960 in words is "three hundred ninety-six million, eight hundred seventy-six thousand, nine hundred sixty".