253835424 has 48 divisors (see below), whose sum is σ = 740355840. Its totient is φ = 84611520.

The previous prime is 253835423. The next prime is 253835431. The reversal of 253835424 is 424538352.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (253835423) 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, 146032 + ... + 147759.

It is an arithmetic number, because the mean of its divisors is an integer number (15424080).

Almost surely, 2^253835424 is an apocalyptic number.

253835424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253835424 is an abundant number, since it is smaller than the sum of its proper divisors (486520416).

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

253835424 is a wasteful number, since it uses less digits than its factorization.

253835424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293810 (or 293796 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 253835424 is about 15932.2134055504. The cubic root of 253835424 is about 633.1657435302.

The spelling of 253835424 in words is "two hundred fifty-three million, eight hundred thirty-five thousand, four hundred twenty-four".