253801842 has 64 divisors (see below), whose sum is σ = 596885760. Its totient is φ = 70447104.

The previous prime is 253801841. The next prime is 253801853. The reversal of 253801842 is 248108352.

253801842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (253801841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251034 + ... + 252042.

It is an arithmetic number, because the mean of its divisors is an integer number (9326340).

Almost surely, 2^253801842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253801842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298442880).

253801842 is an abundant number, since it is smaller than the sum of its proper divisors (343083918).

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

253801842 is a wasteful number, since it uses less digits than its factorization.

253801842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 253801842 is about 15931.1594681618. The cubic root of 253801842 is about 633.1378200442.

The spelling of 253801842 in words is "two hundred fifty-three million, eight hundred one thousand, eight hundred forty-two".