465952048 has 80 divisors (see below), whose sum is σ = 1041228000. Its totient is φ = 200503296.

The previous prime is 465952043. The next prime is 465952049. The reversal of 465952048 is 840259564.

It is a super-2 number, since 2×465952048² = 434222622070788608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 465951995 and 465952013.

It is not an unprimeable number, because it can be changed into a prime (465952043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148318 + ... + 151426.

It is an arithmetic number, because the mean of its divisors is an integer number (13015350).

Almost surely, 2^465952048 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 465952048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520614000).

465952048 is an abundant number, since it is smaller than the sum of its proper divisors (575275952).

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

465952048 is a wasteful number, since it uses less digits than its factorization.

465952048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 465952048 is about 21585.9224495966. The cubic root of 465952048 is about 775.2594610966.

The spelling of 465952048 in words is "four hundred sixty-five million, nine hundred fifty-two thousand, forty-eight".