248504952 has 64 divisors (see below), whose sum is σ = 655776000. Its totient is φ = 78257664.

The previous prime is 248504947. The next prime is 248504957. The reversal of 248504952 is 259405842.

248504952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248504947) and next prime (248504957).

It is a super-2 number, since 2×248504952² = 123509422337044608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 248504952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248504957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269949 + ... + 270867.

It is an arithmetic number, because the mean of its divisors is an integer number (10246500).

Almost surely, 2^248504952 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 248504952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327888000).

248504952 is an abundant number, since it is smaller than the sum of its proper divisors (407271048).

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

248504952 is a wasteful number, since it uses less digits than its factorization.

248504952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 248504952 is about 15764.0398375543. The cubic root of 248504952 is about 628.7022517352.

The spelling of 248504952 in words is "two hundred forty-eight million, five hundred four thousand, nine hundred fifty-two".