465444564 has 96 divisors (see below), whose sum is σ = 1244678400. Its totient is φ = 134105088.

The previous prime is 465444559. The next prime is 465444589.

465444564 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776737 + ... + 777335.

It is an arithmetic number, because the mean of its divisors is an integer number (12965400).

Almost surely, 2^465444564 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 465444564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622339200).

465444564 is an abundant number, since it is smaller than the sum of its proper divisors (779233836).

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

465444564 is a wasteful number, since it uses less digits than its factorization.

465444564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The square root of 465444564 is about 21574.1642711833. The cubic root of 465444564 is about 774.9779051627.

The spelling of 465444564 in words is "four hundred sixty-five million, four hundred forty-four thousand, five hundred sixty-four".