480314604 has 192 divisors, whose sum is σ = 1490227200. Its totient is φ = 116640000.

The previous prime is 480314603. The next prime is 480314621. The reversal of 480314604 is 406413084.

It is not an unprimeable number, because it can be changed into a prime (480314603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1913479 + ... + 1913729.

It is an arithmetic number, because the mean of its divisors is an integer number (7761600).

Almost surely, 2^480314604 is an apocalyptic number.

480314604 is a gapful number since it is divisible by the number (44) 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 480314604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745113600).

480314604 is an abundant number, since it is smaller than the sum of its proper divisors (1009912596).

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

480314604 is a wasteful number, since it uses less digits than its factorization.

480314604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 480314604 is about 21916.0809452785. The cubic root of 480314604 is about 783.1445510166.

Adding to 480314604 its reverse (406413084), we get a palindrome (886727688).

The spelling of 480314604 in words is "four hundred eighty million, three hundred fourteen thousand, six hundred four".