253845000 has 120 divisors (see below), whose sum is σ = 859248390. Its totient is φ = 67680000.

The previous prime is 253844947. The next prime is 253845001. The reversal of 253845000 is 548352.

It can be written as a sum of positive squares in 5 ways, for example, as 47692836 + 206152164 = 6906^2 + 14358^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (253845001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 42180 + ... + 47820.

Almost surely, 2^253845000 is an apocalyptic number.

253845000 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 253845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429624195).

253845000 is an abundant number, since it is smaller than the sum of its proper divisors (605403390).

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

253845000 is a wasteful number, since it uses less digits than its factorization.

253845000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5673 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 253845000 is about 15932.5139259315. The cubic root of 253845000 is about 633.1737055381.

The spelling of 253845000 in words is "two hundred fifty-three million, eight hundred forty-five thousand".