248001264 has 100 divisors (see below), whose sum is σ = 820358704. Its totient is φ = 70854912.

The previous prime is 248001233. The next prime is 248001289. The reversal of 248001264 is 462100842.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4597 + ... + 22740.

Almost surely, 2^248001264 is an apocalyptic number.

248001264 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 248001264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410179352).

248001264 is an abundant number, since it is smaller than the sum of its proper divisors (572357440).

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

248001264 is a wasteful number, since it uses less digits than its factorization.

248001264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27364 (or 27349 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 248001264 is about 15748.0558800126. The cubic root of 248001264 is about 628.2771978703.

The spelling of 248001264 in words is "two hundred forty-eight million, one thousand, two hundred sixty-four".