248541564 has 48 divisors (see below), whose sum is σ = 618595488. Its totient is φ = 77395968.

The previous prime is 248541551. The next prime is 248541577. The reversal of 248541564 is 465145842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (248541551) and next prime (248541577).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23502 + ... + 32394.

It is an arithmetic number, because the mean of its divisors is an integer number (12887406).

Almost surely, 2^248541564 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 248541564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309297744).

248541564 is an abundant number, since it is smaller than the sum of its proper divisors (370053924).

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

248541564 is a wasteful number, since it uses less digits than its factorization.

248541564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9054 (or 9052 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The square root of 248541564 is about 15765.2010453403. The cubic root of 248541564 is about 628.7331255888.

The spelling of 248541564 in words is "two hundred forty-eight million, five hundred forty-one thousand, five hundred sixty-four".