396748814400 has 567 divisors, whose sum is σ = 1468554499893. Its totient is φ = 101587046400.

The previous prime is 396748814369. The next prime is 396748814417. The reversal of 396748814400 is 4418847693.

The square root of 396748814400 is 629880.

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

396748814400 is a `hidden beast` number, since 3 + 96 + 74 + 8 + 81 + 4 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 396688348224 + 60466176 = 629832^2 + 7776^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2191982310 + ... + 2191982490.

Almost surely, 2^396748814400 is an apocalyptic number.

396748814400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

396748814400 is the 629880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396748814400

396748814400 is an abundant number, since it is smaller than the sum of its proper divisors (1071805685493).

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

396748814400 is a wasteful number, since it uses less digits than its factorization.

396748814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 396748814400 in words is "three hundred ninety-six billion, seven hundred forty-eight million, eight hundred fourteen thousand, four hundred".