464848464 has 40 divisors (see below), whose sum is σ = 1233318880. Its totient is φ = 150761088.

The previous prime is 464848429. The next prime is 464848477.

It is a happy number.

464848464 is nontrivially palindromic in base 10.

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 a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 129094 + ... + 132645.

It is an arithmetic number, because the mean of its divisors is an integer number (30832972).

Almost surely, 2^464848464 is an apocalyptic number.

It is an amenable number.

464848464 is an abundant number, since it is smaller than the sum of its proper divisors (768470416).

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

464848464 is a wasteful number, since it uses less digits than its factorization.

464848464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261787 (or 261781 counting only the distinct ones).

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

The square root of 464848464 is about 21560.3447096748. The cubic root of 464848464 is about 774.6469229006.

The spelling of 464848464 in words is "four hundred sixty-four million, eight hundred forty-eight thousand, four hundred sixty-four".