480282117120 has 1408 divisors, whose sum is σ = 1957070868480. Its totient is φ = 110839726080.

The previous prime is 480282117067. The next prime is 480282117127. The reversal of 480282117120 is 21711282084.

It is a happy number.

480282117120 is a `hidden beast` number, since 480 + 2 + 8 + 2 + 1 + 171 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (480282117127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2061296524 + ... + 2061296756.

Almost surely, 2^480282117120 is an apocalyptic number.

480282117120 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 480282117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978535434240).

480282117120 is an abundant number, since it is smaller than the sum of its proper divisors (1476788751360).

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

480282117120 is a wasteful number, since it uses less digits than its factorization.

480282117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 480282117120 in words is "four hundred eighty billion, two hundred eighty-two million, one hundred seventeen thousand, one hundred twenty".