244864400 has 240 divisors, whose sum is σ = 705758400. Its totient is φ = 80640000.

The previous prime is 244864397. The next prime is 244864427. The reversal of 244864400 is 4468442.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2424350 + ... + 2424450.

It is an arithmetic number, because the mean of its divisors is an integer number (2940660).

Almost surely, 2^244864400 is an apocalyptic number.

244864400 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 244864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352879200).

244864400 is an abundant number, since it is smaller than the sum of its proper divisors (460894000).

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

244864400 is a wasteful number, since it uses less digits than its factorization.

244864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 244864400 is about 15648.1436598722. The cubic root of 244864400 is about 625.6170120068.

The spelling of 244864400 in words is "two hundred forty-four million, eight hundred sixty-four thousand, four hundred".