482909725670400 has 2112 divisors, whose sum is σ = 2173131567820800. Its totient is φ = 102570063298560.

The previous prime is 482909725670389. The next prime is 482909725670419. The reversal of 482909725670400 is 4076527909284.

482909725670400 is a `hidden beast` number, since 4 + 8 + 2 + 90 + 9 + 72 + 5 + 6 + 70 + 400 = 666.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6497934042 + ... + 6498008358.

Almost surely, 2^{482909725670400} is an apocalyptic number.

482909725670400 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 482909725670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086565783910400).

482909725670400 is an abundant number, since it is smaller than the sum of its proper divisors (1690221842150400).

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

482909725670400 is a wasteful number, since it uses less digits than its factorization.

482909725670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74459 (or 74430 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 482909725670400 in words is "four hundred eighty-two trillion, nine hundred nine billion, seven hundred twenty-five million, six hundred seventy thousand, four hundred".