252414048 has 48 divisors (see below), whose sum is σ = 664070400. Its totient is φ = 83949696.

The previous prime is 252414047. The next prime is 252414067. The reversal of 252414048 is 840414252.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252414047) 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, 44053 + ... + 49451.

It is an arithmetic number, because the mean of its divisors is an integer number (13834800).

Almost surely, 2^252414048 is an apocalyptic number.

It is an amenable number.

252414048 is an abundant number, since it is smaller than the sum of its proper divisors (411656352).

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

252414048 is a wasteful number, since it uses less digits than its factorization.

252414048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 252414048 is about 15887.5438000970. The cubic root of 252414048 is about 631.9817064619.

The spelling of 252414048 in words is "two hundred fifty-two million, four hundred fourteen thousand, forty-eight".