253305040 has 20 divisors (see below), whose sum is σ = 588934404. Its totient is φ = 101321984.

The previous prime is 253305037. The next prime is 253305077. The reversal of 253305040 is 40503352.

It can be written as a sum of positive squares in 2 ways, for example, as 126607504 + 126697536 = 11252^2 + 11256^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1583077 + ... + 1583236.

Almost surely, 2^253305040 is an apocalyptic number.

253305040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253305040 is an abundant number, since it is smaller than the sum of its proper divisors (335629364).

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

253305040 is a wasteful number, since it uses less digits than its factorization.

253305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166326 (or 3166320 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 253305040 is about 15915.5596822732. The cubic root of 253305040 is about 632.7244403381.

Adding to 253305040 its reverse (40503352), we get a palindrome (293808392).

The spelling of 253305040 in words is "two hundred fifty-three million, three hundred five thousand, forty".