1052944800 has 144 divisors (see below), whose sum is σ = 3446779392. Its totient is φ = 279193600.

The previous prime is 1052944787. The next prime is 1052944813. The reversal of 1052944800 is 84492501.

It is an interprime number because it is at equal distance from previous prime (1052944787) and next prime (1052944813).

It is a super-2 number, since 2×1052944800² = 2217385503694080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457252 + ... + 459548.

It is an arithmetic number, because the mean of its divisors is an integer number (23935968).

Almost surely, 2^1052944800 is an apocalyptic number.

1052944800 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 1052944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723389696).

1052944800 is an abundant number, since it is smaller than the sum of its proper divisors (2393834592).

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

1052944800 is a wasteful number, since it uses less digits than its factorization.

1052944800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1052944800 is about 32449.1109277281. The cubic root of 1052944800 is about 1017.3456553028.

The spelling of 1052944800 in words is "one billion, fifty-two million, nine hundred forty-four thousand, eight hundred".