397560960 has 160 divisors (see below), whose sum is σ = 1419947100. Its totient is φ = 106002432.

The previous prime is 397560901. The next prime is 397560979. The reversal of 397560960 is 69065793.

397560960 is a `hidden beast` number, since 39 + 7 + 5 + 609 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 380718144 + 16842816 = 19512^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×397560960² = 316109433832243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48006 + ... + 55674.

Almost surely, 2^397560960 is an apocalyptic number.

397560960 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 397560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709973550).

397560960 is an abundant number, since it is smaller than the sum of its proper divisors (1022386140).

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

397560960 is an equidigital number, since it uses as much as digits as its factorization.

397560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7700 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 397560960 is about 19938.9307637095. The cubic root of 397560960 is about 735.3056621221.

The spelling of 397560960 in words is "three hundred ninety-seven million, five hundred sixty thousand, nine hundred sixty".