464014368 has 36 divisors (see below), whose sum is σ = 1319541678. Its totient is φ = 154671360.

The previous prime is 464014367. The next prime is 464014399. The reversal of 464014368 is 863410464.

464014368 is a `hidden beast` number, since 4 + 640 + 1 + 4 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 461906064 + 2108304 = 21492^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (464014363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 805293 + ... + 805868.

Almost surely, 2^464014368 is an apocalyptic number.

464014368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

464014368 is an abundant number, since it is smaller than the sum of its proper divisors (855527310).

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

464014368 is a wasteful number, since it uses less digits than its factorization.

464014368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611177 (or 1611166 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 464014368 is about 21540.9927347836. The cubic root of 464014368 is about 774.1833189562.

The spelling of 464014368 in words is "four hundred sixty-four million, fourteen thousand, three hundred sixty-eight".