356880 has 40 divisors (see below), whose sum is σ = 1107072. Its totient is φ = 95104.

The previous prime is 356869. The next prime is 356887. The reversal of 356880 is 88653.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (356887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504 + ... + 983.

2³⁵⁶⁸⁸⁰ is an apocalyptic number.

356880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

356880 is an abundant number, since it is smaller than the sum of its proper divisors (750192).

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

356880 is a wasteful number, since it uses less digits than its factorization.

356880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 356880 is about 597.3943421225. The cubic root of 356880 is about 70.9317601299.

The spelling of 356880 in words is "three hundred fifty-six thousand, eight hundred eighty".