480299168052 has 288 divisors, whose sum is σ = 1466856787200. Its totient is φ = 135451388160.

The previous prime is 480299168047. The next prime is 480299168087. The reversal of 480299168052 is 250861992084.

It is a happy number.

480299168052 is a `hidden beast` number, since 480 + 29 + 9 + 16 + 80 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 480299168052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11099274 + ... + 11142462.

Almost surely, 2^480299168052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480299168052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733428393600).

480299168052 is an abundant number, since it is smaller than the sum of its proper divisors (986557619148).

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

480299168052 is a wasteful number, since it uses less digits than its factorization.

480299168052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43284 (or 43265 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 480299168052 in words is "four hundred eighty billion, two hundred ninety-nine million, one hundred sixty-eight thousand, fifty-two".