482496944400 has 675 divisors, whose sum is σ = 1847635205119. Its totient is φ = 120563804160.

The previous prime is 482496944387. The next prime is 482496944431. The reversal of 482496944400 is 4449694284.

The square root of 482496944400 is 694620.

It is a perfect power (a square), and thus also a powerful number.

482496944400 is a `hidden beast` number, since 4 + 8 + 24 + 96 + 94 + 440 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11286087696 + 471210856704 = 106236^2 + 686448^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2125537087 + ... + 2125537313.

Almost surely, 2^482496944400 is an apocalyptic number.

482496944400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

482496944400 is the 694620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482496944400

482496944400 is an abundant number, since it is smaller than the sum of its proper divisors (1365138260719).

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

482496944400 is a wasteful number, since it uses less digits than its factorization.

482496944400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 482496944400 in words is "four hundred eighty-two billion, four hundred ninety-six million, nine hundred forty-four thousand, four hundred".