480274704 has 320 divisors, whose sum is σ = 1788774400. Its totient is φ = 119812608.

The previous prime is 480274703. The next prime is 480274727. The reversal of 480274704 is 407472084.

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

It is not an unprimeable number, because it can be changed into a prime (480274703) 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, 746607 + ... + 747249.

It is an arithmetic number, because the mean of its divisors is an integer number (5589920).

Almost surely, 2^480274704 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 480274704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894387200).

480274704 is an abundant number, since it is smaller than the sum of its proper divisors (1308499696).

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

480274704 is a wasteful number, since it uses less digits than its factorization.

480274704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 480274704 is about 21915.1706358860. The cubic root of 480274704 is about 783.1228649990.

The spelling of 480274704 in words is "four hundred eighty million, two hundred seventy-four thousand, seven hundred four".