253845306 has 128 divisors (see below), whose sum is σ = 673505280. Its totient is φ = 69854400.

The previous prime is 253845289. The next prime is 253845307. The reversal of 253845306 is 603548352.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (253845307) 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, 548031 + ... + 548493.

It is an arithmetic number, because the mean of its divisors is an integer number (5261760).

Almost surely, 2^253845306 is an apocalyptic number.

253845306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 253845306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336752640).

253845306 is an abundant number, since it is smaller than the sum of its proper divisors (419659974).

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

253845306 is a wasteful number, since it uses less digits than its factorization.

253845306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 253845306 is about 15932.5235289329. The cubic root of 253845306 is about 633.1739599599.

The spelling of 253845306 in words is "two hundred fifty-three million, eight hundred forty-five thousand, three hundred six".