244142400 has 168 divisors, whose sum is σ = 843462880. Its totient is φ = 61655040.

The previous prime is 244142383. The next prime is 244142417. The reversal of 244142400 is 4241442.

It is an interprime number because it is at equal distance from previous prime (244142383) and next prime (244142417).

It is a super-2 number, since 2×244142400² = 119211022955520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89862 + ... + 92538.

Almost surely, 2^244142400 is an apocalyptic number.

244142400 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 244142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421731440).

244142400 is an abundant number, since it is smaller than the sum of its proper divisors (599320480).

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

244142400 is a wasteful number, since it uses less digits than its factorization.

244142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 244142400 is about 15625.0567998968. The cubic root of 244142400 is about 625.0015146630.

Adding to 244142400 its reverse (4241442), we get a palindrome (248383842).

The spelling of 244142400 in words is "two hundred forty-four million, one hundred forty-two thousand, four hundred".