480088084400 has 120 divisors (see below), whose sum is σ = 1193691158400. Its totient is φ = 185360947200.

The previous prime is 480088084387. The next prime is 480088084409. The reversal of 480088084400 is 4480880084.

It is not an unprimeable number, because it can be changed into a prime (480088084409) 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, 4773836 + ... + 4873364.

It is an arithmetic number, because the mean of its divisors is an integer number (9947426320).

Almost surely, 2^480088084400 is an apocalyptic number.

480088084400 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 480088084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596845579200).

480088084400 is an abundant number, since it is smaller than the sum of its proper divisors (713603074000).

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

480088084400 is a wasteful number, since it uses less digits than its factorization.

480088084400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99967 (or 99956 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 480088084400 in words is "four hundred eighty billion, eighty-eight million, eighty-four thousand, four hundred".