465960960 has 216 divisors, whose sum is σ = 1635772320. Its totient is φ = 122683392.

The previous prime is 465960919. The next prime is 465960977. The reversal of 465960960 is 69069564.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5898201 + ... + 5898279.

It is an arithmetic number, because the mean of its divisors is an integer number (7573020).

Almost surely, 2^465960960 is an apocalyptic number.

465960960 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 465960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817886160).

465960960 is an abundant number, since it is smaller than the sum of its proper divisors (1169811360).

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

465960960 is an frugal number, since it uses more digits than its factorization.

465960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 465960960 is about 21586.1288794448. The cubic root of 465960960 is about 775.2644037141.

The spelling of 465960960 in words is "four hundred sixty-five million, nine hundred sixty thousand, nine hundred sixty".