480389498400 has 576 divisors, whose sum is σ = 1863258743808. Its totient is φ = 105217781760.

The previous prime is 480389498389. The next prime is 480389498401. The reversal of 480389498400 is 4894983084.

It is not an unprimeable number, because it can be changed into a prime (480389498401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38280927 + ... + 38293473.

It is an arithmetic number, because the mean of its divisors is an integer number (3234824208).

Almost surely, 2^480389498400 is an apocalyptic number.

480389498400 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 480389498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931629371904).

480389498400 is an abundant number, since it is smaller than the sum of its proper divisors (1382869245408).

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

480389498400 is a wasteful number, since it uses less digits than its factorization.

480389498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12673 (or 12660 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 480389498400 in words is "four hundred eighty billion, three hundred eighty-nine million, four hundred ninety-eight thousand, four hundred".