360385920 has 384 divisors, whose sum is σ = 1360476000. Its totient is φ = 87588864.

The previous prime is 360385903. The next prime is 360385933. The reversal of 360385920 is 29583063.

360385920 is a `hidden beast` number, since 3 + 60 + 3 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×360385920² = 259756022668492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 4049236 + ... + 4049324.

Almost surely, 2^360385920 is an apocalyptic number.

360385920 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 360385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680238000).

360385920 is an abundant number, since it is smaller than the sum of its proper divisors (1000090080).

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

360385920 is a wasteful number, since it uses less digits than its factorization.

360385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 360385920 is about 18983.8331218961. The cubic root of 360385920 is about 711.6327694263.

The spelling of 360385920 in words is "three hundred sixty million, three hundred eighty-five thousand, nine hundred twenty".