252478176 has 96 divisors (see below), whose sum is σ = 715599360. Its totient is φ = 77704704.

The previous prime is 252478157. The next prime is 252478181. The reversal of 252478176 is 671874252.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 62061 + ... + 66003.

It is an arithmetic number, because the mean of its divisors is an integer number (7454160).

Almost surely, 2^252478176 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 252478176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357799680).

252478176 is an abundant number, since it is smaller than the sum of its proper divisors (463121184).

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

252478176 is a wasteful number, since it uses less digits than its factorization.

252478176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 4000 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 252478176 is about 15889.5618567662. The cubic root of 252478176 is about 632.0352220930.

The spelling of 252478176 in words is "two hundred fifty-two million, four hundred seventy-eight thousand, one hundred seventy-six".