252460404 has 144 divisors (see below), whose sum is σ = 797561856. Its totient is φ = 65664000.

The previous prime is 252460381. The next prime is 252460409. The reversal of 252460404 is 404064252.

252460404 is a `hidden beast` number, since 2 + 52 + 4 + 604 + 0 + 4 = 666.

252460404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252460409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131854 + ... + 133754.

It is an arithmetic number, because the mean of its divisors is an integer number (5538624).

Almost surely, 2^252460404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252460404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398780928).

252460404 is an abundant number, since it is smaller than the sum of its proper divisors (545101452).

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

252460404 is a wasteful number, since it uses less digits than its factorization.

252460404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 252460404 is about 15889.0026118696. The cubic root of 252460404 is about 632.0203920408.

The spelling of 252460404 in words is "two hundred fifty-two million, four hundred sixty thousand, four hundred four".