359976960 has 520 divisors, whose sum is σ = 1522346496. Its totient is φ = 79626240.

The previous prime is 359976949. The next prime is 359976961. The reversal of 359976960 is 69679953.

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 = 359976897 and 359976906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359976961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11612145 + ... + 11612175.

Almost surely, 2^359976960 is an apocalyptic number.

359976960 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 359976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761173248).

359976960 is an abundant number, since it is smaller than the sum of its proper divisors (1162369536).

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

359976960 is an equidigital number, since it uses as much as digits as its factorization.

359976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 359976960 is about 18973.0587939847. The cubic root of 359976960 is about 711.3634844961.

The spelling of 359976960 in words is "three hundred fifty-nine million, nine hundred seventy-six thousand, nine hundred sixty".