244868400 has 480 divisors, whose sum is σ = 1033267200. Its totient is φ = 53913600.

The previous prime is 244868383. The next prime is 244868443. The reversal of 244868400 is 4868442.

244868400 = 370² + 371² + ... + 922².

244868400 is a `hidden beast` number, since 244 + 8 + 6 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3099561 + ... + 3099639.

It is an arithmetic number, because the mean of its divisors is an integer number (2152640).

Almost surely, 2^244868400 is an apocalyptic number.

244868400 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 244868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516633600).

244868400 is an abundant number, since it is smaller than the sum of its proper divisors (788398800).

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

244868400 is a wasteful number, since it uses less digits than its factorization.

244868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 244868400 is about 15648.2714700378. The cubic root of 244868400 is about 625.6204185921.

The spelling of 244868400 in words is "two hundred forty-four million, eight hundred sixty-eight thousand, four hundred".