253710040 has 128 divisors (see below), whose sum is σ = 647352000. Its totient is φ = 88915968.

The previous prime is 253710029. The next prime is 253710071. The reversal of 253710040 is 40017352.

253710040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253709993 and 253710020.

It is a congruent number.

It is an unprimeable number.

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, 943026 + ... + 943294.

Almost surely, 2^253710040 is an apocalyptic number.

253710040 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 253710040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323676000).

253710040 is an abundant number, since it is smaller than the sum of its proper divisors (393641960).

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

253710040 is a wasteful number, since it uses less digits than its factorization.

253710040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 253710040 is about 15928.2779985785. The cubic root of 253710040 is about 633.0614739639.

Adding to 253710040 its reverse (40017352), we get a palindrome (293727392).

The spelling of 253710040 in words is "two hundred fifty-three million, seven hundred ten thousand, forty".