253682430 has 64 divisors (see below), whose sum is σ = 637977600. Its totient is φ = 64471680.

The previous prime is 253682399. The next prime is 253682441. The reversal of 253682430 is 34286352.

It is a happy number.

253682430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×253682430³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253682391 and 253682400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66885 + ... + 70575.

It is an arithmetic number, because the mean of its divisors is an integer number (9968400).

Almost surely, 2^253682430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253682430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318988800).

253682430 is an abundant number, since it is smaller than the sum of its proper divisors (384295170).

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

253682430 is a wasteful number, since it uses less digits than its factorization.

253682430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 253682430 is about 15927.4112774173. The cubic root of 253682430 is about 633.0385088218.

The spelling of 253682430 in words is "two hundred fifty-three million, six hundred eighty-two thousand, four hundred thirty".