1253620800 has 420 divisors, whose sum is σ = 4887628020. Its totient is φ = 314081280.

The previous prime is 1253620777. The next prime is 1253620807. The reversal of 1253620800 is 80263521.

It can be written as a sum of positive squares in 6 ways, for example, as 39237696 + 1214383104 = 6264^2 + 34848^2 .

It is a super-2 number, since 2×1253620800² = 3143130220385280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1253620807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2202916 + ... + 2203484.

Almost surely, 2^1253620800 is an apocalyptic number.

1253620800 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 1253620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443814010).

1253620800 is an abundant number, since it is smaller than the sum of its proper divisors (3634007220).

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

1253620800 is a wasteful number, since it uses less digits than its factorization.

1253620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1253620800 is about 35406.5078763778. The cubic root of 1253620800 is about 1078.2564459771.

The spelling of 1253620800 in words is "one billion, two hundred fifty-three million, six hundred twenty thousand, eight hundred".