253881540 has 168 divisors, whose sum is σ = 872581248. Its totient is φ = 61508160.

The previous prime is 253881539. The next prime is 253881571. The reversal of 253881540 is 45188352.

It is a happy number.

253881540 is a `hidden beast` number, since 2 + 5 + 38 + 81 + 540 = 666.

253881540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253881495 and 253881504.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 159589 + ... + 161171.

It is an arithmetic number, because the mean of its divisors is an integer number (5193936).

Almost surely, 2^253881540 is an apocalyptic number.

253881540 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 253881540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436290624).

253881540 is an abundant number, since it is smaller than the sum of its proper divisors (618699708).

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

253881540 is a wasteful number, since it uses less digits than its factorization.

253881540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 253881540 is about 15933.6605963601. The cubic root of 253881540 is about 633.2040850442.

The spelling of 253881540 in words is "two hundred fifty-three million, eight hundred eighty-one thousand, five hundred forty".