253233303400 has 288 divisors, whose sum is σ = 786486045600. Its totient is φ = 74775052800.

The previous prime is 253233303359. The next prime is 253233303439. The reversal of 253233303400 is 4303332352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1986382 + ... + 2110018.

It is an arithmetic number, because the mean of its divisors is an integer number (2730854325).

Almost surely, 2^253233303400 is an apocalyptic number.

253233303400 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 253233303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393243022800).

253233303400 is an abundant number, since it is smaller than the sum of its proper divisors (533252742200).

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

253233303400 is a wasteful number, since it uses less digits than its factorization.

253233303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123697 (or 123681 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 28.

Adding to 253233303400 its reverse (4303332352), we get a palindrome (257536635752).

The spelling of 253233303400 in words is "two hundred fifty-three billion, two hundred thirty-three million, three hundred three thousand, four hundred".