445849998400 has 63 divisors (see below), whose sum is σ = 1097135376591. Its totient is φ = 178329315840.

The previous prime is 445849998389. The next prime is 445849998401. The reversal of 445849998400 is 4899948544.

The square root of 445849998400 is 667720.

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 164491891776 + 281358106624 = 405576^2 + 530432^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (445849998401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26700454 + ... + 26717146.

Almost surely, 2^445849998400 is an apocalyptic number.

445849998400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

445849998400 is the 667720-th square number.

It is an amenable number.

445849998400 is an abundant number, since it is smaller than the sum of its proper divisors (651285378191).

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

445849998400 is an frugal number, since it uses more digits than its factorization.

445849998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33408 (or 16700 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 64.

Multiplying 445849998400 by its sum of digits (64), we get a square (28534399897600 = 5341760²).

445849998400 divided by its sum of digits (64) gives a square (6966406225 = 83465²).

The spelling of 445849998400 in words is "four hundred forty-five billion, eight hundred forty-nine million, nine hundred ninety-eight thousand, four hundred".