252826401 has 8 divisors (see below), whose sum is σ = 337294080. Its totient is φ = 168454832.

The previous prime is 252826391. The next prime is 252826429. The reversal of 252826401 is 104628252.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252826401 - 2⁶ = 252826337 is a prime.

It is a super-2 number, since 2×252826401² = 127842378085225602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252826501) 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 7 ways as a sum of consecutive naturals, for example, 17646 + ... + 28583.

It is an arithmetic number, because the mean of its divisors is an integer number (42161760).

Almost surely, 2^252826401 is an apocalyptic number.

It is an amenable number.

252826401 is a deficient number, since it is larger than the sum of its proper divisors (84467679).

252826401 is a wasteful number, since it uses less digits than its factorization.

252826401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48055.

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 252826401 is about 15900.5157463524. The cubic root of 252826401 is about 632.3256621898.

The spelling of 252826401 in words is "two hundred fifty-two million, eight hundred twenty-six thousand, four hundred one".