363616480 has 24 divisors (see below), whose sum is σ = 859044312. Its totient is φ = 145446528.

The previous prime is 363616457. The next prime is 363616481. The reversal of 363616480 is 84616363.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363616481) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1136142 + ... + 1136461.

It is an arithmetic number, because the mean of its divisors is an integer number (35793513).

Almost surely, 2^363616480 is an apocalyptic number.

It is an amenable number.

363616480 is an abundant number, since it is smaller than the sum of its proper divisors (495427832).

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

363616480 is a wasteful number, since it uses less digits than its factorization.

363616480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272618 (or 2272610 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 363616480 is about 19068.7304244410. The cubic root of 363616480 is about 713.7528456942.

The spelling of 363616480 in words is "three hundred sixty-three million, six hundred sixteen thousand, four hundred eighty".