359956080 has 240 divisors, whose sum is σ = 1348199424. Its totient is φ = 85317120.

The previous prime is 359956063. The next prime is 359956099. The reversal of 359956080 is 80659953.

359956080 is a `hidden beast` number, since 3 + 5 + 9 + 9 + 560 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371757 + ... + 372723.

Almost surely, 2^359956080 is an apocalyptic number.

359956080 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 359956080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674099712).

359956080 is an abundant number, since it is smaller than the sum of its proper divisors (988243344).

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

359956080 is a wasteful number, since it uses less digits than its factorization.

359956080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 359956080 is about 18972.5085320840. The cubic root of 359956080 is about 711.3497303226.

The spelling of 359956080 in words is "three hundred fifty-nine million, nine hundred fifty-six thousand, eighty".