1253851200 has 378 divisors, whose sum is σ = 5186989626. Its totient is φ = 286433280.

The previous prime is 1253851189. The next prime is 1253851213. The reversal of 1253851200 is 21583521.

It is a happy number.

1253851200 is a `hidden beast` number, since 1 + 2 + 538 + 5 + 120 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 79281216 + 1174569984 = 8904^2 + 34272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 704712 + ... + 706488.

Almost surely, 2^1253851200 is an apocalyptic number.

1253851200 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 1253851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593494813).

1253851200 is an abundant number, since it is smaller than the sum of its proper divisors (3933138426).

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

1253851200 is a wasteful number, since it uses less digits than its factorization.

1253851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1253851200 is about 35409.7613660414. The cubic root of 1253851200 is about 1078.3224986642.

The spelling of 1253851200 in words is "one billion, two hundred fifty-three million, eight hundred fifty-one thousand, two hundred".