465982944 has 288 divisors, whose sum is σ = 1530627840. Its totient is φ = 123475968.

The previous prime is 465982931. The next prime is 465983027. The reversal of 465982944 is 449289564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6383292 + ... + 6383364.

It is an arithmetic number, because the mean of its divisors is an integer number (5314680).

Almost surely, 2^465982944 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 465982944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765313920).

465982944 is an abundant number, since it is smaller than the sum of its proper divisors (1064644896).

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

465982944 is a wasteful number, since it uses less digits than its factorization.

465982944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

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

The square root of 465982944 is about 21586.6380893367. The cubic root of 465982944 is about 775.2765958261.

The spelling of 465982944 in words is "four hundred sixty-five million, nine hundred eighty-two thousand, nine hundred forty-four".