480209456 has 40 divisors (see below), whose sum is σ = 972660960. Its totient is φ = 229239296.

The previous prime is 480209447. The next prime is 480209459. The reversal of 480209456 is 654902084.

It is a super-2 number, since 2×480209456² = 461202243263631872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (480209459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296906 + ... + 298518.

It is an arithmetic number, because the mean of its divisors is an integer number (24316524).

Almost surely, 2^480209456 is an apocalyptic number.

480209456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

480209456 is an abundant number, since it is smaller than the sum of its proper divisors (492451504).

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

480209456 is a wasteful number, since it uses less digits than its factorization.

480209456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 480209456 is about 21913.6819361786. The cubic root of 480209456 is about 783.0873995217.

The spelling of 480209456 in words is "four hundred eighty million, two hundred nine thousand, four hundred fifty-six".