253871436 has 96 divisors (see below), whose sum is σ = 738114048. Its totient is φ = 66124800.

The previous prime is 253871411. The next prime is 253871459. The reversal of 253871436 is 634178352.

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

It is a junction number, because it is equal to n+sod(n) for n = 253871394 and 253871403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89236 + ... + 92036.

It is an arithmetic number, because the mean of its divisors is an integer number (7688688).

Almost surely, 2^253871436 is an apocalyptic number.

253871436 is a gapful number since it is divisible by the number (26) 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 253871436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369057024).

253871436 is an abundant number, since it is smaller than the sum of its proper divisors (484242612).

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

253871436 is a wasteful number, since it uses less digits than its factorization.

253871436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2909 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 253871436 is about 15933.3435285881. The cubic root of 253871436 is about 633.1956848287.

The spelling of 253871436 in words is "two hundred fifty-three million, eight hundred seventy-one thousand, four hundred thirty-six".