248553864 has 96 divisors (see below), whose sum is σ = 744645720. Its totient is φ = 74400768.

The previous prime is 248553863. The next prime is 248553869. The reversal of 248553864 is 468355842.

It can be written as a sum of positive squares in 4 ways, for example, as 246176100 + 2377764 = 15690^2 + 1542^2 .

It is not an unprimeable number, because it can be changed into a prime (248553863) 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 23 ways as a sum of consecutive naturals, for example, 31044 + ... + 38220.

Almost surely, 2^248553864 is an apocalyptic number.

248553864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248553864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372322860).

248553864 is an abundant number, since it is smaller than the sum of its proper divisors (496091856).

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

248553864 is a wasteful number, since it uses less digits than its factorization.

248553864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7239 (or 7232 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 248553864 is about 15765.5911402015. The cubic root of 248553864 is about 628.7434971469.

The spelling of 248553864 in words is "two hundred forty-eight million, five hundred fifty-three thousand, eight hundred sixty-four".