363924564 has 48 divisors (see below), whose sum is σ = 864968832. Its totient is φ = 119066112.

The previous prime is 363924541. The next prime is 363924577. The reversal of 363924564 is 465429363.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203217 + ... + 204999.

It is an arithmetic number, because the mean of its divisors is an integer number (18020184).

Almost surely, 2^363924564 is an apocalyptic number.

It is an amenable number.

363924564 is an abundant number, since it is smaller than the sum of its proper divisors (501044268).

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

363924564 is a wasteful number, since it uses less digits than its factorization.

363924564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2094 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 363924564 is about 19076.8069655275. The cubic root of 363924564 is about 713.9543709905.

It can be divided in two parts, 3639 and 24564, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 363924564 in words is "three hundred sixty-three million, nine hundred twenty-four thousand, five hundred sixty-four".