253075440 has 240 divisors, whose sum is σ = 870801408. Its totient is φ = 60673536.

The previous prime is 253075439. The next prime is 253075441. The reversal of 253075440 is 44570352.

It is an interprime number because it is at equal distance from previous prime (253075439) and next prime (253075441).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 253075398 and 253075407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253075441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1992657 + ... + 1992783.

Almost surely, 2^253075440 is an apocalyptic number.

253075440 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 253075440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435400704).

253075440 is an abundant number, since it is smaller than the sum of its proper divisors (617725968).

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

253075440 is a wasteful number, since it uses less digits than its factorization.

253075440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 253075440 is about 15908.3449799154. The cubic root of 253075440 is about 632.5332118146.

The spelling of 253075440 in words is "two hundred fifty-three million, seventy-five thousand, four hundred forty".