465980460 has 96 divisors (see below), whose sum is σ = 1485292032. Its totient is φ = 108049920.

The previous prime is 465980443. The next prime is 465980467. The reversal of 465980460 is 64089564.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (465980467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169 + ... + 30528.

It is an arithmetic number, because the mean of its divisors is an integer number (15471792).

Almost surely, 2^465980460 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 465980460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742646016).

465980460 is an abundant number, since it is smaller than the sum of its proper divisors (1019311572).

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

465980460 is a wasteful number, since it uses less digits than its factorization.

465980460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30743 (or 30741 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 465980460 is about 21586.5805536681. The cubic root of 465980460 is about 775.2752182431.

The spelling of 465980460 in words is "four hundred sixty-five million, nine hundred eighty thousand, four hundred sixty".