465815728 has 80 divisors (see below), whose sum is σ = 1063056960. Its totient is φ = 193609728.

The previous prime is 465815717. The next prime is 465815743. The reversal of 465815728 is 827518564.

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, 575388 + ... + 576196.

It is an arithmetic number, because the mean of its divisors is an integer number (13288212).

Almost surely, 2^465815728 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 465815728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531528480).

465815728 is an abundant number, since it is smaller than the sum of its proper divisors (597241232).

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

465815728 is a wasteful number, since it uses less digits than its factorization.

465815728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its digits is 537600, while the sum is 46.

The square root of 465815728 is about 21582.7646051195. The cubic root of 465815728 is about 775.1838498270.

The spelling of 465815728 in words is "four hundred sixty-five million, eight hundred fifteen thousand, seven hundred twenty-eight".