465500048 has 40 divisors (see below), whose sum is σ = 973880376. Its totient is φ = 214272000.

The previous prime is 465500027. The next prime is 465500051. The reversal of 465500048 is 840005564.

It can be written as a sum of positive squares in 4 ways, for example, as 86341264 + 379158784 = 9292^2 + 19472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 465499987 and 465500023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80618 + ... + 86198.

Almost surely, 2^465500048 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 465500048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486940188).

465500048 is an abundant number, since it is smaller than the sum of its proper divisors (508380328).

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

465500048 is a wasteful number, since it uses less digits than its factorization.

465500048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003 (or 5997 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 465500048 is about 21575.4501227668. The cubic root of 465500048 is about 775.0086980640.

The spelling of 465500048 in words is "four hundred sixty-five million, five hundred thousand, forty-eight".