480574144 has 56 divisors (see below), whose sum is σ = 1047536640. Its totient is φ = 217730304.

The previous prime is 480574141. The next prime is 480574147. The reversal of 480574144 is 441475084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (480574141) and next prime (480574147).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480574141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19377 + ... + 36559.

Almost surely, 2^480574144 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 480574144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523768320).

480574144 is an abundant number, since it is smaller than the sum of its proper divisors (566962496).

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

480574144 is a wasteful number, since it uses less digits than its factorization.

480574144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17237 (or 17227 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 37.

The square root of 480574144 is about 21922.0013684882. The cubic root of 480574144 is about 783.2855840921.

The spelling of 480574144 in words is "four hundred eighty million, five hundred seventy-four thousand, one hundred forty-four".