464488464 has 40 divisors (see below), whose sum is σ = 1309014432. Its totient is φ = 140753920.

The previous prime is 464488463. The next prime is 464488511. The reversal of 464488464 is 464884464.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (464488463) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 439329 + ... + 440384.

Almost surely, 2^464488464 is an apocalyptic number.

464488464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464488464 is an abundant number, since it is smaller than the sum of its proper divisors (844525968).

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

464488464 is a wasteful number, since it uses less digits than its factorization.

464488464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879735 (or 879729 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 48.

The square root of 464488464 is about 21551.9944320706. The cubic root of 464488464 is about 774.4468972037.

The spelling of 464488464 in words is "four hundred sixty-four million, four hundred eighty-eight thousand, four hundred sixty-four".