480174440 has 32 divisors (see below), whose sum is σ = 1082513160. Its totient is φ = 191692800.

The previous prime is 480174439. The next prime is 480174511. The reversal of 480174440 is 44471084.

It can be written as a sum of positive squares in 4 ways, for example, as 263672644 + 216501796 = 16238^2 + 14714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 480174397 and 480174406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9320 + ... + 32360.

Almost surely, 2^480174440 is an apocalyptic number.

480174440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480174440 is an abundant number, since it is smaller than the sum of its proper divisors (602338720).

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

480174440 is a wasteful number, since it uses less digits than its factorization.

480174440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23573 (or 23569 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 480174440 is about 21912.8829687013. The cubic root of 480174440 is about 783.0683652895.

The spelling of 480174440 in words is "four hundred eighty million, one hundred seventy-four thousand, four hundred forty".