359966880 has 576 divisors, whose sum is σ = 1571851008. Its totient is φ = 72990720.

The previous prime is 359966851. The next prime is 359966899. The reversal of 359966880 is 88669953.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5372607 + ... + 5372673.

It is an arithmetic number, because the mean of its divisors is an integer number (2728908).

Almost surely, 2^359966880 is an apocalyptic number.

359966880 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 359966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785925504).

359966880 is an abundant number, since it is smaller than the sum of its proper divisors (1211884128).

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

359966880 is a wasteful number, since it uses less digits than its factorization.

359966880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 359966880 is about 18972.7931523010. The cubic root of 359966880 is about 711.3568446167.

The spelling of 359966880 in words is "three hundred fifty-nine million, nine hundred sixty-six thousand, eight hundred eighty".