253012400 has 60 divisors (see below), whose sum is σ = 610296504. Its totient is φ = 100800000.

The previous prime is 253012391. The next prime is 253012423. The reversal of 253012400 is 4210352.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 111275 + ... + 113525.

Almost surely, 2^253012400 is an apocalyptic number.

253012400 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 253012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305148252).

253012400 is an abundant number, since it is smaller than the sum of its proper divisors (357284104).

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

253012400 is a wasteful number, since it uses less digits than its factorization.

253012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 253012400 is about 15906.3635064712. The cubic root of 253012400 is about 632.4806870219.

Adding to 253012400 its reverse (4210352), we get a palindrome (257222752).

The spelling of 253012400 in words is "two hundred fifty-three million, twelve thousand, four hundred".