480087432 has 256 divisors, whose sum is σ = 1540915200. Its totient is φ = 137168640.

The previous prime is 480087407. The next prime is 480087467. The reversal of 480087432 is 234780084.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3780153 + ... + 3780279.

It is an arithmetic number, because the mean of its divisors is an integer number (6019200).

Almost surely, 2^480087432 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 480087432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770457600).

480087432 is an abundant number, since it is smaller than the sum of its proper divisors (1060827768).

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

480087432 is a wasteful number, since it uses less digits than its factorization.

480087432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 480087432 is about 21910.8975626285. The cubic root of 480087432 is about 783.0210648903.

The spelling of 480087432 in words is "four hundred eighty million, eighty-seven thousand, four hundred thirty-two".