480444004800 has 168 divisors, whose sum is σ = 1751396497200. Its totient is φ = 128118389760.

The previous prime is 480444004753. The next prime is 480444004801. The reversal of 480444004800 is 8400444084.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480444004801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5517495 + ... + 5603894.

It is an arithmetic number, because the mean of its divisors is an integer number (10424979150).

Almost surely, 2^480444004800 is an apocalyptic number.

480444004800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480444004800 is an abundant number, since it is smaller than the sum of its proper divisors (1270952492400).

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

480444004800 is a wasteful number, since it uses less digits than its factorization.

480444004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11121420 (or 11121399 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 480444004800 its reverse (8400444084), we get a palindrome (488844448884).

The spelling of 480444004800 in words is "four hundred eighty billion, four hundred forty-four million, four thousand, eight hundred".