465456960 has 168 divisors, whose sum is σ = 1656481320. Its totient is φ = 119820288.

The previous prime is 465456949. The next prime is 465456961. The reversal of 465456960 is 69654564.

465456960 is a `hidden beast` number, since 46 + 545 + 6 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 464488704 = 984^2 + 21552^2 .

It is a super-2 number, since 2×465456960² = 433300363224883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465456961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80734 + ... + 86306.

Almost surely, 2^465456960 is an apocalyptic number.

465456960 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 465456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828240660).

465456960 is an abundant number, since it is smaller than the sum of its proper divisors (1191024360).

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

465456960 is a wasteful number, since it uses less digits than its factorization.

465456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5625 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 465456960 is about 21574.4515573398. The cubic root of 465456960 is about 774.9847849944.

The spelling of 465456960 in words is "four hundred sixty-five million, four hundred fifty-six thousand, nine hundred sixty".