253009848 has 256 divisors, whose sum is σ = 833495040. Its totient is φ = 62208000.

The previous prime is 253009847. The next prime is 253009873. The reversal of 253009848 is 848900352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253009847) 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, 2504998 + ... + 2505098.

It is an arithmetic number, because the mean of its divisors is an integer number (3255840).

Almost surely, 2^253009848 is an apocalyptic number.

253009848 is a gapful number since it is divisible by the number (28) 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 253009848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416747520).

253009848 is an abundant number, since it is smaller than the sum of its proper divisors (580485192).

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

253009848 is a wasteful number, since it uses less digits than its factorization.

253009848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 253009848 is about 15906.2832868021. The cubic root of 253009848 is about 632.4785605173.

The spelling of 253009848 in words is "two hundred fifty-three million, nine thousand, eight hundred forty-eight".