482615366400 has 1080 divisors, whose sum is σ = 1972393071264. Its totient is φ = 115811942400.

The previous prime is 482615366369. The next prime is 482615366449. The reversal of 482615366400 is 4663516284.

482615366400 is a `hidden beast` number, since 4 + 82 + 61 + 53 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 202693210 + ... + 202695590.

Almost surely, 2^482615366400 is an apocalyptic number.

482615366400 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 482615366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986196535632).

482615366400 is an abundant number, since it is smaller than the sum of its proper divisors (1489777704864).

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

482615366400 is a wasteful number, since it uses less digits than its factorization.

482615366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 482615366400 in words is "four hundred eighty-two billion, six hundred fifteen million, three hundred sixty-six thousand, four hundred".