248876564 has 24 divisors (see below), whose sum is σ = 443822400. Its totient is φ = 122088384.

The previous prime is 248876527. The next prime is 248876569. The reversal of 248876564 is 465678842.

It is a happy number.

248876564 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248876569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55967 + ... + 60249.

It is an arithmetic number, because the mean of its divisors is an integer number (18492600).

Almost surely, 2^248876564 is an apocalyptic number.

It is an amenable number.

248876564 is a deficient number, since it is larger than the sum of its proper divisors (194945836).

248876564 is a wasteful number, since it uses less digits than its factorization.

248876564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559 (or 4557 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

The square root of 248876564 is about 15775.8221338858. The cubic root of 248876564 is about 629.0154808254.

The spelling of 248876564 in words is "two hundred forty-eight million, eight hundred seventy-six thousand, five hundred sixty-four".