480749256000 has 1568 divisors, whose sum is σ = 2040894823968. Its totient is φ = 111078604800.

The previous prime is 480749255981. The next prime is 480749256047. The reversal of 480749256000 is 652947084.

It is a happy number.

480749256000 is a `hidden beast` number, since 4 + 80 + 7 + 4 + 9 + 2 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 350786121984 + 129963134016 = 592272^2 + 360504^2 .

It is a super-3 number, since 3×480749256000³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1288871814 + ... + 1288872186.

Almost surely, 2^480749256000 is an apocalyptic number.

480749256000 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 480749256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020447411984).

480749256000 is an abundant number, since it is smaller than the sum of its proper divisors (1560145567968).

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

480749256000 is a wasteful number, since it uses less digits than its factorization.

480749256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 480749256000 in words is "four hundred eighty billion, seven hundred forty-nine million, two hundred fifty-six thousand".