464464464 has 40 divisors (see below), whose sum is σ = 1241244960. Its totient is φ = 149482368.

The previous prime is 464464453. The next prime is 464464487.

464464464 is nontrivially palindromic in base 10.

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

464464464 is a modest number, since divided by 464464 gives 464 as remainder.

It is a congruent number.

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, 165442 + ... + 168225.

It is an arithmetic number, because the mean of its divisors is an integer number (31031124).

Almost surely, 2^464464464 is an apocalyptic number.

It is an amenable number.

464464464 is an abundant number, since it is smaller than the sum of its proper divisors (776780496).

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

464464464 is a wasteful number, since it uses less digits than its factorization.

464464464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333707 (or 333701 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

The square root of 464464464 is about 21551.4376318611. The cubic root of 464464464 is about 774.4335584830.

The spelling of 464464464 in words is "four hundred sixty-four million, four hundred sixty-four thousand, four hundred sixty-four".