360476160 has 320 divisors, whose sum is σ = 1336414464. Its totient is φ = 81920000.

The previous prime is 360476099. The next prime is 360476183. The reversal of 360476160 is 61674063.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436035 + ... + 1436285.

Almost surely, 2^360476160 is an apocalyptic number.

360476160 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 360476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668207232).

360476160 is an abundant number, since it is smaller than the sum of its proper divisors (975938304).

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

360476160 is a wasteful number, since it uses less digits than its factorization.

360476160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 360476160 is about 18986.2097323294. The cubic root of 360476160 is about 711.6921616670.

The spelling of 360476160 in words is "three hundred sixty million, four hundred seventy-six thousand, one hundred sixty".