446999216400 has 405 divisors, whose sum is σ = 1706735430127. Its totient is φ = 108256473600.

The previous prime is 446999216383. The next prime is 446999216423. The reversal of 446999216400 is 4612999644.

It is a happy number.

The square root of 446999216400 is 668580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 266788778256 + 180210438144 = 516516^2 + 424512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 441262294 + ... + 441263306.

Almost surely, 2^446999216400 is an apocalyptic number.

446999216400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

446999216400 is the 668580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446999216400

446999216400 is an abundant number, since it is smaller than the sum of its proper divisors (1259736213727).

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

446999216400 is a wasteful number, since it uses less digits than its factorization.

446999216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 446999216400 in words is "four hundred forty-six billion, nine hundred ninety-nine million, two hundred sixteen thousand, four hundred".