464707464 has 64 divisors (see below), whose sum is σ = 1263608640. Its totient is φ = 141561600.

The previous prime is 464707459. The next prime is 464707487.

464707464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464707464² = 431906054194622592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24139 + ... + 38885.

It is an arithmetic number, because the mean of its divisors is an integer number (19743885).

Almost surely, 2^464707464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464707464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631804320).

464707464 is an abundant number, since it is smaller than the sum of its proper divisors (798901176).

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

464707464 is a wasteful number, since it uses less digits than its factorization.

464707464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14870 (or 14866 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The square root of 464707464 is about 21557.0745696164. The cubic root of 464707464 is about 774.5685918099.

The spelling of 464707464 in words is "four hundred sixty-four million, seven hundred seven thousand, four hundred sixty-four".