253513440 has 72 divisors (see below), whose sum is σ = 865119528. Its totient is φ = 67603200.

The previous prime is 253513439. The next prime is 253513471. The reversal of 253513440 is 44315352.

253513440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86586 + ... + 89465.

It is an arithmetic number, because the mean of its divisors is an integer number (12015549).

Almost surely, 2^253513440 is an apocalyptic number.

253513440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253513440 is an abundant number, since it is smaller than the sum of its proper divisors (611606088).

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

253513440 is a wasteful number, since it uses less digits than its factorization.

253513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176072 (or 176061 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 253513440 is about 15922.1053884215. The cubic root of 253513440 is about 632.8979118549.

Adding to 253513440 its reverse (44315352), we get a palindrome (297828792).

The spelling of 253513440 in words is "two hundred fifty-three million, five hundred thirteen thousand, four hundred forty".