253402842 has 64 divisors (see below), whose sum is σ = 634521600. Its totient is φ = 65542080.

The previous prime is 253402813. The next prime is 253402843. The reversal of 253402842 is 248204352.

It is a super-3 number, since 3×253402842³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (253402843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123259 + ... + 125297.

It is an arithmetic number, because the mean of its divisors is an integer number (9914400).

Almost surely, 2^253402842 is an apocalyptic number.

253402842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 253402842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317260800).

253402842 is an abundant number, since it is smaller than the sum of its proper divisors (381118758).

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

253402842 is a wasteful number, since it uses less digits than its factorization.

253402842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331.

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 253402842 is about 15918.6319135785. The cubic root of 253402842 is about 632.8058622648.

It can be divided in two parts, 25340 and 2842, that added together give a palindrome (28182).

The spelling of 253402842 in words is "two hundred fifty-three million, four hundred two thousand, eight hundred forty-two".