356408960 has 64 divisors (see below), whose sum is σ = 854896680. Its totient is φ = 142086144.

The previous prime is 356408957. The next prime is 356408977. The reversal of 356408960 is 69804653.

It can be written as a sum of positive squares in 4 ways, for example, as 337677376 + 18731584 = 18376^2 + 4328^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237974 + ... + 239466.

Almost surely, 2^356408960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427448340).

356408960 is an abundant number, since it is smaller than the sum of its proper divisors (498487720).

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

356408960 is a wasteful number, since it uses less digits than its factorization.

356408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 356408960 is about 18878.7965718157. The cubic root of 356408960 is about 709.0053917151.

The spelling of 356408960 in words is "three hundred fifty-six million, four hundred eight thousand, nine hundred sixty".