480049260 has 96 divisors (see below), whose sum is σ = 1410576384. Its totient is φ = 121824000.

The previous prime is 480049259. The next prime is 480049303. The reversal of 480049260 is 62940084.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111345 + ... + 115575.

It is an arithmetic number, because the mean of its divisors is an integer number (14693504).

Almost surely, 2^480049260 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 480049260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705288192).

480049260 is an abundant number, since it is smaller than the sum of its proper divisors (930527124).

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

480049260 is a wasteful number, since it uses less digits than its factorization.

480049260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 480049260 is about 21910.0264719146. The cubic root of 480049260 is about 783.0003115370. Note that the first 3 decimals are identical.

The spelling of 480049260 in words is "four hundred eighty million, forty-nine thousand, two hundred sixty".