480113633384 has 96 divisors (see below), whose sum is σ = 1143321622560. Its totient is φ = 186903964800.

The previous prime is 480113633371. The next prime is 480113633411. The reversal of 480113633384 is 483336311084.

It is a super-2 number, since 2×480113633384² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5288939 + ... + 5378949.

It is an arithmetic number, because the mean of its divisors is an integer number (11909600235).

Almost surely, 2^480113633384 is an apocalyptic number.

480113633384 is a gapful number since it is divisible by the number (44) 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 480113633384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571660811280).

480113633384 is an abundant number, since it is smaller than the sum of its proper divisors (663207989176).

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

480113633384 is a wasteful number, since it uses less digits than its factorization.

480113633384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91279 (or 91268 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 480113633384 in words is "four hundred eighty billion, one hundred thirteen million, six hundred thirty-three thousand, three hundred eighty-four".