248043264 has 288 divisors, whose sum is σ = 820216320. Its totient is φ = 65028096.

The previous prime is 248043253. The next prime is 248043287. The reversal of 248043264 is 462340842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5768427 + ... + 5768469.

Almost surely, 2^248043264 is an apocalyptic number.

248043264 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 248043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410108160).

248043264 is an abundant number, since it is smaller than the sum of its proper divisors (572173056).

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

248043264 is a wasteful number, since it uses less digits than its factorization.

248043264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 248043264 is about 15749.3893214943. The cubic root of 248043264 is about 628.3126629487.

The spelling of 248043264 in words is "two hundred forty-eight million, forty-three thousand, two hundred sixty-four".