248822784 has 396 divisors, whose sum is σ = 910096200. Its totient is φ = 65028096.

The previous prime is 248822773. The next prime is 248822789. The reversal of 248822784 is 487228842.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248822789) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8580082 + ... + 8580110.

Almost surely, 2^248822784 is an apocalyptic number.

248822784 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 248822784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455048100).

248822784 is an abundant number, since it is smaller than the sum of its proper divisors (661273416).

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

248822784 is a wasteful number, since it uses less digits than its factorization.

248822784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 248822784 is about 15774.1175347466. The cubic root of 248822784 is about 628.9701693546.

The spelling of 248822784 in words is "two hundred forty-eight million, eight hundred twenty-two thousand, seven hundred eighty-four".