480427792 has 60 divisors (see below), whose sum is σ = 1016601600. Its totient is φ = 219832704.

The previous prime is 480427781. The next prime is 480427793. The reversal of 480427792 is 297724084.

It is not an unprimeable number, because it can be changed into a prime (480427793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342709 + ... + 344107.

It is an arithmetic number, because the mean of its divisors is an integer number (16943360).

Almost surely, 2^480427792 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 480427792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508300800).

480427792 is an abundant number, since it is smaller than the sum of its proper divisors (536173808).

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

480427792 is a wasteful number, since it uses less digits than its factorization.

480427792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 480427792 is about 21918.6630979173. The cubic root of 480427792 is about 783.2060632023.

The spelling of 480427792 in words is "four hundred eighty million, four hundred twenty-seven thousand, seven hundred ninety-two".