480100460 has 48 divisors (see below), whose sum is σ = 1157393664. Its totient is φ = 163869888.

The previous prime is 480100457. The next prime is 480100463. The reversal of 480100460 is 64001084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (480100457) and next prime (480100463).

It is not an unprimeable number, because it can be changed into a prime (480100463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24227 + ... + 39333.

It is an arithmetic number, because the mean of its divisors is an integer number (24112368).

Almost surely, 2^480100460 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 480100460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578696832).

480100460 is an abundant number, since it is smaller than the sum of its proper divisors (677293204).

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

480100460 is a wasteful number, since it uses less digits than its factorization.

480100460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15350 (or 15348 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 480100460 is about 21911.1948555984. The cubic root of 480100460 is about 783.0281477017.

The spelling of 480100460 in words is "four hundred eighty million, one hundred thousand, four hundred sixty".