464416320 has 56 divisors (see below), whose sum is σ = 1474524864. Its totient is φ = 123844096.

The previous prime is 464416283. The next prime is 464416357. The reversal of 464416320 is 23614464.

It is an interprime number because it is at equal distance from previous prime (464416283) and next prime (464416357).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 240924 + ... + 242843.

Almost surely, 2^464416320 is an apocalyptic number.

464416320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464416320 is an abundant number, since it is smaller than the sum of its proper divisors (1010108544).

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

464416320 is a wasteful number, since it uses less digits than its factorization.

464416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483787 (or 483777 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 464416320 is about 21550.3206472665. The cubic root of 464416320 is about 774.4067996238.

The spelling of 464416320 in words is "four hundred sixty-four million, four hundred sixteen thousand, three hundred twenty".