253589424 has 80 divisors (see below), whose sum is σ = 737762304. Its totient is φ = 74361600.

The previous prime is 253589381. The next prime is 253589429. The reversal of 253589424 is 424985352.

It is not an unprimeable number, because it can be changed into a prime (253589429) 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 15 ways as a sum of consecutive naturals, for example, 8622 + ... + 24114.

Almost surely, 2^253589424 is an apocalyptic number.

253589424 is a gapful number since it is divisible by the number (24) 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 253589424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368881152).

253589424 is an abundant number, since it is smaller than the sum of its proper divisors (484172880).

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

253589424 is a wasteful number, since it uses less digits than its factorization.

253589424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15546 (or 15540 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 253589424 is about 15924.4913262559. The cubic root of 253589424 is about 632.9611370514.

The spelling of 253589424 in words is "two hundred fifty-three million, five hundred eighty-nine thousand, four hundred twenty-four".