480700458699552 has 1536 divisors, whose sum is σ = 1785530283264000. Its totient is φ = 126566052802560.

The previous prime is 480700458699529. The next prime is 480700458699569. The reversal of 480700458699552 is 255996854007084.

480700458699552 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 0 + 0 + 4 + 5 + 8 + 69 + 9 + 552 = 666.

It is a super-3 number, since 3×480700458699552³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 293647194478 + ... + 293647196114.

It is an arithmetic number, because the mean of its divisors is an integer number (1162454611500).

Almost surely, 2^{480700458699552} is an apocalyptic number.

480700458699552 is a gapful number since it is divisible by the number (42) 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 480700458699552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892765141632000).

480700458699552 is an abundant number, since it is smaller than the sum of its proper divisors (1304829824564448).

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

480700458699552 is an equidigital number, since it uses as much as digits as its factorization.

480700458699552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 480700458699552 in words is "four hundred eighty trillion, seven hundred billion, four hundred fifty-eight million, six hundred ninety-nine thousand, five hundred fifty-two".