253534300 has 72 divisors (see below), whose sum is σ = 566682480. Its totient is φ = 98419200.

The previous prime is 253534297. The next prime is 253534331. The reversal of 253534300 is 3435352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 542667 + ... + 543133.

It is an arithmetic number, because the mean of its divisors is an integer number (7870590).

Almost surely, 2^253534300 is an apocalyptic number.

253534300 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 253534300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283341240).

253534300 is an abundant number, since it is smaller than the sum of its proper divisors (313148180).

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

253534300 is a wasteful number, since it uses less digits than its factorization.

253534300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The square root of 253534300 is about 15922.7604390696. The cubic root of 253534300 is about 632.9152704196.

Adding to 253534300 its reverse (3435352), we get a palindrome (256969652).

The spelling of 253534300 in words is "two hundred fifty-three million, five hundred thirty-four thousand, three hundred".