253307424 has 48 divisors (see below), whose sum is σ = 667584288. Its totient is φ = 84099072.

The previous prime is 253307423. The next prime is 253307459. The reversal of 253307424 is 424703352.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 253307391 and 253307400.

It is not an unprimeable number, because it can be changed into a prime (253307423) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19539 + ... + 29805.

It is an arithmetic number, because the mean of its divisors is an integer number (13908006).

Almost surely, 2^253307424 is an apocalyptic number.

253307424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253307424 is an abundant number, since it is smaller than the sum of its proper divisors (414276864).

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

253307424 is a wasteful number, since it uses less digits than its factorization.

253307424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10537 (or 10529 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 253307424 is about 15915.6345773582. The cubic root of 253307424 is about 632.7264253102.

The spelling of 253307424 in words is "two hundred fifty-three million, three hundred seven thousand, four hundred twenty-four".