253000800 has 576 divisors, whose sum is σ = 1063056960. Its totient is φ = 57507840.

The previous prime is 253000799. The next prime is 253000801. The reversal of 253000800 is 8000352.

It is an interprime number because it is at equal distance from previous prime (253000799) and next prime (253000801).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253000801) 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 95 ways as a sum of consecutive naturals, for example, 4773574 + ... + 4773626.

It is an arithmetic number, because the mean of its divisors is an integer number (1845585).

Almost surely, 2^253000800 is an apocalyptic number.

253000800 is a gapful number since it is divisible by the number (20) 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 253000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531528480).

253000800 is an abundant number, since it is smaller than the sum of its proper divisors (810056160).

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

253000800 is a wasteful number, since it uses less digits than its factorization.

253000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 253000800 is about 15905.9988683515. The cubic root of 253000800 is about 632.4710209765.

The spelling of 253000800 in words is "two hundred fifty-three million, eight hundred", and thus it is an aban number.