465342752 has 48 divisors (see below), whose sum is σ = 1049448960. Its totient is φ = 198970368.

The previous prime is 465342749. The next prime is 465342763. The reversal of 465342752 is 257243564.

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 7 ways as a sum of consecutive naturals, for example, 105128 + ... + 109464.

It is an arithmetic number, because the mean of its divisors is an integer number (21863520).

Almost surely, 2^465342752 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 465342752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524724480).

465342752 is an abundant number, since it is smaller than the sum of its proper divisors (584106208).

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

465342752 is a wasteful number, since it uses less digits than its factorization.

465342752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4825 counting only the distinct ones).

The product of its digits is 201600, while the sum is 38.

The square root of 465342752 is about 21571.8045605832. The cubic root of 465342752 is about 774.9213944556.

The spelling of 465342752 in words is "four hundred sixty-five million, three hundred forty-two thousand, seven hundred fifty-two".