253251233400 has 480 divisors, whose sum is σ = 874215475200. Its totient is φ = 60642489600.

The previous prime is 253251233383. The next prime is 253251233419. The reversal of 253251233400 is 4332152352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1115644087 + ... + 1115644313.

It is an arithmetic number, because the mean of its divisors is an integer number (1821282240).

Almost surely, 2^253251233400 is an apocalyptic number.

253251233400 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 253251233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437107737600).

253251233400 is an abundant number, since it is smaller than the sum of its proper divisors (620964241800).

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

253251233400 is a wasteful number, since it uses less digits than its factorization.

253251233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 253251233400 its reverse (4332152352), we get a palindrome (257583385752).

The spelling of 253251233400 in words is "two hundred fifty-three billion, two hundred fifty-one million, two hundred thirty-three thousand, four hundred".