253569440 has 96 divisors (see below), whose sum is σ = 635040000. Its totient is φ = 95413248.

The previous prime is 253569439. The next prime is 253569443. The reversal of 253569440 is 44965352.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 253569394 and 253569403.

It is not an unprimeable number, because it can be changed into a prime (253569443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726386 + ... + 726734.

It is an arithmetic number, because the mean of its divisors is an integer number (6615000).

Almost surely, 2^253569440 is an apocalyptic number.

253569440 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 253569440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520000).

253569440 is an abundant number, since it is smaller than the sum of its proper divisors (381470560).

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

253569440 is a wasteful number, since it uses less digits than its factorization.

253569440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 253569440 is about 15923.8638527212. The cubic root of 253569440 is about 632.9445098758.

The spelling of 253569440 in words is "two hundred fifty-three million, five hundred sixty-nine thousand, four hundred forty".