465298944 has 80 divisors (see below), whose sum is σ = 1352324160. Its totient is φ = 140994560.

The previous prime is 465298937. The next prime is 465298963. The reversal of 465298944 is 449892564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3127 + ... + 30665.

It is an arithmetic number, because the mean of its divisors is an integer number (16904052).

Almost surely, 2^465298944 is an apocalyptic number.

465298944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465298944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676162080).

465298944 is an abundant number, since it is smaller than the sum of its proper divisors (887025216).

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

465298944 is a wasteful number, since it uses less digits than its factorization.

465298944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27571 (or 27555 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 465298944 is about 21570.7891371642. The cubic root of 465298944 is about 774.8970763076.

The spelling of 465298944 in words is "four hundred sixty-five million, two hundred ninety-eight thousand, nine hundred forty-four".