480003992 has 64 divisors (see below), whose sum is σ = 1024447200. Its totient is φ = 209018880.

The previous prime is 480003991. The next prime is 480004003. The reversal of 480003992 is 299300084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480003991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831608 + ... + 832184.

Almost surely, 2^480003992 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 480003992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512223600).

480003992 is an abundant number, since it is smaller than the sum of its proper divisors (544443208).

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

480003992 is a wasteful number, since it uses less digits than its factorization.

480003992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 480003992 is about 21908.9934045360. The cubic root of 480003992 is about 782.9756988044.

The spelling of 480003992 in words is "four hundred eighty million, three thousand, nine hundred ninety-two".