480112335360 has 960 divisors, whose sum is σ = 2061642046464. Its totient is φ = 100741939200.

The previous prime is 480112335341. The next prime is 480112335389. The reversal of 480112335360 is 63533211084.

480112335360 is a `hidden beast` number, since 4 + 8 + 0 + 112 + 3 + 3 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112410025 + ... + 112414295.

Almost surely, 2^480112335360 is an apocalyptic number.

480112335360 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 480112335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030821023232).

480112335360 is an abundant number, since it is smaller than the sum of its proper divisors (1581529711104).

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

480112335360 is a wasteful number, since it uses less digits than its factorization.

480112335360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 480112335360 in words is "four hundred eighty billion, one hundred twelve million, three hundred thirty-five thousand, three hundred sixty".