446640400 has 30 divisors (see below), whose sum is σ = 1073054522. Its totient is φ = 178656000.

The previous prime is 446640379. The next prime is 446640401. The reversal of 446640400 is 4046644.

It can be written as a sum of positive squares in 3 ways, for example, as 27373824 + 419266576 = 5232^2 + 20476^2 .

It is not an unprimeable number, because it can be changed into a prime (446640401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 557901 + ... + 558700.

Almost surely, 2^446640400 is an apocalyptic number.

446640400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

446640400 is an abundant number, since it is smaller than the sum of its proper divisors (626414122).

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

446640400 is a wasteful number, since it uses less digits than its factorization.

446640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116619 (or 1116608 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 446640400 is about 21133.8685526337. The cubic root of 446640400 is about 764.3976348083.

The spelling of 446640400 in words is "four hundred forty-six million, six hundred forty thousand, four hundred".