248811264 has 270 divisors, whose sum is σ = 814685256. Its totient is φ = 75479040.

The previous prime is 248811257. The next prime is 248811293. The reversal of 248811264 is 462118842.

248811264 is a `hidden beast` number, since 2 + 488 + 112 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3504349 + ... + 3504419.

Almost surely, 2^248811264 is an apocalyptic number.

248811264 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 248811264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407342628).

248811264 is an abundant number, since it is smaller than the sum of its proper divisors (565873992).

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

248811264 is an equidigital number, since it uses as much as digits as its factorization.

248811264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 248811264 is about 15773.7523753861. The cubic root of 248811264 is about 628.9604625155.

The spelling of 248811264 in words is "two hundred forty-eight million, eight hundred eleven thousand, two hundred sixty-four".