364416456 has 32 divisors (see below), whose sum is σ = 912463200. Its totient is φ = 121282560.

The previous prime is 364416413. The next prime is 364416469. The reversal of 364416456 is 654614463.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4296 + ... + 27336.

It is an arithmetic number, because the mean of its divisors is an integer number (28514475).

Almost surely, 2^364416456 is an apocalyptic number.

It is an amenable number.

364416456 is an abundant number, since it is smaller than the sum of its proper divisors (548046744).

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

364416456 is a wasteful number, since it uses less digits than its factorization.

364416456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23709 (or 23705 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 364416456 is about 19089.6950211364. The cubic root of 364416456 is about 714.2758939755.

It can be divided in two parts, 3644 and 16456, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 364416456 in words is "three hundred sixty-four million, four hundred sixteen thousand, four hundred fifty-six".