480226093200 has 1200 divisors, whose sum is σ = 2048852615040. Its totient is φ = 105435095040.

The previous prime is 480226093187. The next prime is 480226093229. The reversal of 480226093200 is 2390622084.

480226093200 is a `hidden beast` number, since 4 + 8 + 0 + 22 + 609 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 746852079 + ... + 746852721.

Almost surely, 2^480226093200 is an apocalyptic number.

480226093200 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 480226093200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024426307520).

480226093200 is an abundant number, since it is smaller than the sum of its proper divisors (1568626521840).

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

480226093200 is a wasteful number, since it uses less digits than its factorization.

480226093200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 480226093200 in words is "four hundred eighty billion, two hundred twenty-six million, ninety-three thousand, two hundred".