480903744 has 112 divisors (see below), whose sum is σ = 1344696320. Its totient is φ = 151441920.

The previous prime is 480903739. The next prime is 480903767. The reversal of 480903744 is 447309084.

It is a super-3 number, since 3×480903744³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254997 + ... + 256875.

Almost surely, 2^480903744 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 480903744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672348160).

480903744 is an abundant number, since it is smaller than the sum of its proper divisors (863792576).

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

480903744 is a wasteful number, since it uses less digits than its factorization.

480903744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 480903744 is about 21929.5176417540. The cubic root of 480903744 is about 783.4646143433.

The spelling of 480903744 in words is "four hundred eighty million, nine hundred three thousand, seven hundred forty-four".