480010240 has 56 divisors (see below), whose sum is σ = 1152052560. Its totient is φ = 191987712.

The previous prime is 480010217. The next prime is 480010261. The reversal of 480010240 is 42010084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35101 + ... + 46819.

Almost surely, 2^480010240 is an apocalyptic number.

480010240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576026280).

480010240 is an abundant number, since it is smaller than the sum of its proper divisors (672042320).

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

480010240 is an equidigital number, since it uses as much as digits as its factorization.

480010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11750 (or 11726 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 480010240 is about 21909.1359939182. The cubic root of 480010240 is about 782.9790960059.

The spelling of 480010240 in words is "four hundred eighty million, ten thousand, two hundred forty".