464427360 has 72 divisors (see below), whose sum is σ = 1584863280. Its totient is φ = 123846912.

The previous prime is 464427347. The next prime is 464427371. The reversal of 464427360 is 63724464.

464427360 is a `hidden beast` number, since 4 + 644 + 2 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159820 + ... + 162699.

It is an arithmetic number, because the mean of its divisors is an integer number (22011990).

Almost surely, 2^464427360 is an apocalyptic number.

464427360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464427360 is an abundant number, since it is smaller than the sum of its proper divisors (1120435920).

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

464427360 is a wasteful number, since it uses less digits than its factorization.

464427360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322540 (or 322529 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 464427360 is about 21550.5767904249. The cubic root of 464427360 is about 774.4129359165.

The spelling of 464427360 in words is "four hundred sixty-four million, four hundred twenty-seven thousand, three hundred sixty".