480458832 has 160 divisors (see below), whose sum is σ = 1478000640. Its totient is φ = 131604480.

The previous prime is 480458821. The next prime is 480458837. The reversal of 480458832 is 238854084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480458837) 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, 2010169 + ... + 2010407.

It is an arithmetic number, because the mean of its divisors is an integer number (9237504).

Almost surely, 2^480458832 is an apocalyptic number.

480458832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480458832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739000320).

480458832 is an abundant number, since it is smaller than the sum of its proper divisors (997541808).

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

480458832 is a wasteful number, since it uses less digits than its factorization.

480458832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 480458832 is about 21919.3711588631. The cubic root of 480458832 is about 783.2229302481. Note that the first 3 decimals are identical.

It can be divided in two parts, 4804 and 58832, that added together give a palindrome (63636).

The spelling of 480458832 in words is "four hundred eighty million, four hundred fifty-eight thousand, eight hundred thirty-two".