464437320 has 128 divisors (see below), whose sum is σ = 1480723200. Its totient is φ = 116315136.

The previous prime is 464437307. The next prime is 464437339. The reversal of 464437320 is 23734464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126957 + ... + 130563.

It is an arithmetic number, because the mean of its divisors is an integer number (11568150).

Almost surely, 2^464437320 is an apocalyptic number.

464437320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464437320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740361600).

464437320 is an abundant number, since it is smaller than the sum of its proper divisors (1016285880).

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

464437320 is a wasteful number, since it uses less digits than its factorization.

464437320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 464437320 is about 21550.8078734882. The cubic root of 464437320 is about 774.4184718362.

The spelling of 464437320 in words is "four hundred sixty-four million, four hundred thirty-seven thousand, three hundred twenty".