465980472 has 128 divisors (see below), whose sum is σ = 1442880000. Its totient is φ = 138475008.

The previous prime is 465980467. The next prime is 465980477. The reversal of 465980472 is 274089564.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (465980467) and next prime (465980477).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465980477) 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, 66429 + ... + 73107.

It is an arithmetic number, because the mean of its divisors is an integer number (11272500).

Almost surely, 2^465980472 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 465980472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721440000).

465980472 is an abundant number, since it is smaller than the sum of its proper divisors (976899528).

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

465980472 is a wasteful number, since it uses less digits than its factorization.

465980472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6730 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 465980472 is about 21586.5808316185. The cubic root of 465980472 is about 775.2752248981.

The spelling of 465980472 in words is "four hundred sixty-five million, nine hundred eighty thousand, four hundred seventy-two".