464916864 has 128 divisors (see below), whose sum is σ = 1295481600. Its totient is φ = 147531776.

The previous prime is 464916857. The next prime is 464916883. The reversal of 464916864 is 468619464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×464916864² = 432295380863188992, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924037 + ... + 924539.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2^464916864 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 464916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647740800).

464916864 is an abundant number, since it is smaller than the sum of its proper divisors (830564736).

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

464916864 is a wasteful number, since it uses less digits than its factorization.

464916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 464916864 is about 21561.9308968376. The cubic root of 464916864 is about 774.6849161070.

The spelling of 464916864 in words is "four hundred sixty-four million, nine hundred sixteen thousand, eight hundred sixty-four".