465268120 has 64 divisors (see below), whose sum is σ = 1065143520. Its totient is φ = 182882304.

The previous prime is 465268117. The next prime is 465268151. The reversal of 465268120 is 21862564.

It is a congruent number.

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, 1171762 + ... + 1172158.

Almost surely, 2^465268120 is an apocalyptic number.

465268120 is a gapful number since it is divisible by the number (40) 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 465268120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532571760).

465268120 is an abundant number, since it is smaller than the sum of its proper divisors (599875400).

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

465268120 is a wasteful number, since it uses less digits than its factorization.

465268120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 465268120 is about 21570.0746405755. The cubic root of 465268120 is about 774.8799647601.

The spelling of 465268120 in words is "four hundred sixty-five million, two hundred sixty-eight thousand, one hundred twenty".