252461 has 8 divisors (see below), whose sum is σ = 280800. Its totient is φ = 225040.

The previous prime is 252457. The next prime is 252463. The reversal of 252461 is 164252.

It is a happy number.

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 252461 - 2² = 252457 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252461.

It is not an unprimeable number, because it can be changed into a prime (252463) 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, 455 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

2²⁵²⁴⁶¹ is an apocalyptic number.

It is an amenable number.

252461 is a deficient number, since it is larger than the sum of its proper divisors (28339).

252461 is a wasteful number, since it uses less digits than its factorization.

252461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459.

The product of its digits is 480, while the sum is 20.

The square root of 252461 is about 502.4549731070. The cubic root of 252461 is about 63.2020889391.

Subtracting from 252461 its reverse (164252), we obtain a square (88209 = 297²).

The spelling of 252461 in words is "two hundred fifty-two thousand, four hundred sixty-one".