480040000 has 140 divisors (see below), whose sum is σ = 1299746448. Its totient is φ = 174400000.

The previous prime is 480039977. The next prime is 480040019. The reversal of 480040000 is 40084.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439455 + ... + 440545.

Almost surely, 2^480040000 is an apocalyptic number.

480040000 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 480040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649873224).

480040000 is an abundant number, since it is smaller than the sum of its proper divisors (819706448).

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

480040000 is a wasteful number, since it uses less digits than its factorization.

480040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 480040000 is about 21909.8151521185. The cubic root of 480040000 is about 782.9952768943.

Adding to 480040000 its reverse (40084), we get a palindrome (480080084).

The spelling of 480040000 in words is "four hundred eighty million, forty thousand".