244166400 has 324 divisors, whose sum is σ = 911047592. Its totient is φ = 64696320.

The previous prime is 244166383. The next prime is 244166401. The reversal of 244166400 is 4661442.

244166400 is a `hidden beast` number, since 2 + 4 + 4 + 16 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244166401) 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 35 ways as a sum of consecutive naturals, for example, 1555122 + ... + 1555278.

Almost surely, 2^244166400 is an apocalyptic number.

244166400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455523796).

244166400 is an abundant number, since it is smaller than the sum of its proper divisors (666881192).

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

244166400 is an equidigital number, since it uses as much as digits as its factorization.

244166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 244166400 is about 15625.8247782317. The cubic root of 244166400 is about 625.0219938927.

The spelling of 244166400 in words is "two hundred forty-four million, one hundred sixty-six thousand, four hundred".