1252824800 has 36 divisors (see below), whose sum is σ = 3058460496. Its totient is φ = 501129600.

The previous prime is 1252824791. The next prime is 1252824817. The reversal of 1252824800 is 84282521.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 782216 + ... + 783815.

It is an arithmetic number, because the mean of its divisors is an integer number (84957236).

Almost surely, 2^1252824800 is an apocalyptic number.

1252824800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252824800 is an abundant number, since it is smaller than the sum of its proper divisors (1805635696).

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

1252824800 is a wasteful number, since it uses less digits than its factorization.

1252824800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566051 (or 1566038 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 1252824800 is about 35395.2652200828. The cubic root of 1252824800 is about 1078.0281808176.

The spelling of 1252824800 in words is "one billion, two hundred fifty-two million, eight hundred twenty-four thousand, eight hundred".