482055062400 has 768 divisors, whose sum is σ = 1831033252800. Its totient is φ = 123752448000.

The previous prime is 482055062389. The next prime is 482055062413. The reversal of 482055062400 is 4260550284.

It is a happy number.

482055062400 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 550 + 62 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322876054 + ... + 322877546.

Almost surely, 2^482055062400 is an apocalyptic number.

482055062400 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 482055062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915516626400).

482055062400 is an abundant number, since it is smaller than the sum of its proper divisors (1348978190400).

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

482055062400 is a wasteful number, since it uses less digits than its factorization.

482055062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 482055062400 in words is "four hundred eighty-two billion, fifty-five million, sixty-two thousand, four hundred".