464236864 has 112 divisors (see below), whose sum is σ = 1149299200. Its totient is φ = 181149696.

The previous prime is 464236831. The next prime is 464236931. The reversal of 464236864 is 468632464.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 464236864.

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, 459592 + ... + 460600.

It is an arithmetic number, because the mean of its divisors is an integer number (10261600).

Almost surely, 2^464236864 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 464236864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574649600).

464236864 is an abundant number, since it is smaller than the sum of its proper divisors (685062336).

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

464236864 is a wasteful number, since it uses less digits than its factorization.

464236864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1110 counting only the distinct ones).

The product of its digits is 663552, while the sum is 43.

The square root of 464236864 is about 21546.1565946226. The cubic root of 464236864 is about 774.3070401016.

The spelling of 464236864 in words is "four hundred sixty-four million, two hundred thirty-six thousand, eight hundred sixty-four".