464484320 has 24 divisors (see below), whose sum is σ = 1097344584. Its totient is φ = 185793664.

The previous prime is 464484301. The next prime is 464484331. The reversal of 464484320 is 23484464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1451354 + ... + 1451673.

It is an arithmetic number, because the mean of its divisors is an integer number (45722691).

Almost surely, 2^464484320 is an apocalyptic number.

464484320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464484320 is an abundant number, since it is smaller than the sum of its proper divisors (632860264).

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

464484320 is a wasteful number, since it uses less digits than its factorization.

464484320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903042 (or 2903034 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The square root of 464484320 is about 21551.8982922619. The cubic root of 464484320 is about 774.4445940841. Note that the first 3 decimals are identical.

The spelling of 464484320 in words is "four hundred sixty-four million, four hundred eighty-four thousand, three hundred twenty".