480468996 has 120 divisors (see below), whose sum is σ = 1470771456. Its totient is φ = 133902720.

The previous prime is 480468959. The next prime is 480468997. The reversal of 480468996 is 699864084.

480468996 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×480468996² = 461700912234496032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (480468997) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90405 + ... + 95571.

Almost surely, 2^480468996 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 480468996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735385728).

480468996 is an abundant number, since it is smaller than the sum of its proper divisors (990302460).

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

480468996 is a wasteful number, since it uses less digits than its factorization.

480468996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 480468996 is about 21919.6030073539. The cubic root of 480468996 is about 783.2284531782.

The spelling of 480468996 in words is "four hundred eighty million, four hundred sixty-eight thousand, nine hundred ninety-six".