1244552400 has 720 divisors, whose sum is σ = 5540895360. Its totient is φ = 251596800.

The previous prime is 1244552369. The next prime is 1244552411. The reversal of 1244552400 is 42554421.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9500335 + ... + 9500465.

It is an arithmetic number, because the mean of its divisors is an integer number (7695688).

Almost surely, 2^1244552400 is an apocalyptic number.

1244552400 is a gapful number since it is divisible by the number (10) 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 1244552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770447680).

1244552400 is an abundant number, since it is smaller than the sum of its proper divisors (4296342960).

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

1244552400 is a wasteful number, since it uses less digits than its factorization.

1244552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 1244552400 is about 35278.2142405196. The cubic root of 1244552400 is about 1075.6501997692.

The spelling of 1244552400 in words is "one billion, two hundred forty-four million, five hundred fifty-two thousand, four hundred".