368405520 has 120 divisors (see below), whose sum is σ = 1328557824. Its totient is φ = 84204288.

The previous prime is 368405489. The next prime is 368405533. The reversal of 368405520 is 25504863.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3904 + ... + 27423.

Almost surely, 2^368405520 is an apocalyptic number.

368405520 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 368405520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664278912).

368405520 is an abundant number, since it is smaller than the sum of its proper divisors (960152304).

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

368405520 is a wasteful number, since it uses less digits than its factorization.

368405520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31357 (or 31344 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 368405520 is about 19193.8927786940. The cubic root of 368405520 is about 716.8727017731.

The spelling of 368405520 in words is "three hundred sixty-eight million, four hundred five thousand, five hundred twenty".