253344000 has 576 divisors, whose sum is σ = 1071383040. Its totient is φ = 51609600.

The previous prime is 253343999. The next prime is 253344001. The reversal of 253344000 is 443352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253343999) and next prime (253344001).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (253344001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8735986 + ... + 8736014.

It is an arithmetic number, because the mean of its divisors is an integer number (1860040).

Almost surely, 2^253344000 is an apocalyptic number.

253344000 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 253344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535691520).

253344000 is an abundant number, since it is smaller than the sum of its proper divisors (818039040).

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

253344000 is a wasteful number, since it uses less digits than its factorization.

253344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 253344000 is about 15916.7835946839. The cubic root of 253344000 is about 632.7568777510.

Adding to 253344000 its reverse (443352), we get a palindrome (253787352).

The spelling of 253344000 in words is "two hundred fifty-three million, three hundred forty-four thousand".