465915648 has 144 divisors (see below), whose sum is σ = 1366307712. Its totient is φ = 139776000.

The previous prime is 465915607. The next prime is 465915661. The reversal of 465915648 is 846519564.

It is a super-3 number, since 3×465915648³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 465915597 and 465915606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1106478 + ... + 1106898.

It is an arithmetic number, because the mean of its divisors is an integer number (9488248).

Almost surely, 2^465915648 is an apocalyptic number.

465915648 is a gapful number since it is divisible by the number (48) 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 465915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683153856).

465915648 is an abundant number, since it is smaller than the sum of its proper divisors (900392064).

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

465915648 is a wasteful number, since it uses less digits than its factorization.

465915648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 465915648 is about 21585.0792910288. The cubic root of 465915648 is about 775.2392729110.

The spelling of 465915648 in words is "four hundred sixty-five million, nine hundred fifteen thousand, six hundred forty-eight".