1052748800 has 264 divisors, whose sum is σ = 2878409520. Its totient is φ = 380108800.

The previous prime is 1052748733. The next prime is 1052748821. The reversal of 1052748800 is 88472501.

It is a super-2 number, since 2×1052748800² = 2216560071802880000, 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, 17843171 + ... + 17843229.

Almost surely, 2^1052748800 is an apocalyptic number.

1052748800 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 1052748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439204760).

1052748800 is an abundant number, since it is smaller than the sum of its proper divisors (1825660720).

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

1052748800 is a wasteful number, since it uses less digits than its factorization.

1052748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 1052748800 is about 32446.0906736081. The cubic root of 1052748800 is about 1017.2825269153.

The spelling of 1052748800 in words is "one billion, fifty-two million, seven hundred forty-eight thousand, eight hundred".