248784816 has 80 divisors (see below), whose sum is σ = 741881088. Its totient is φ = 70368000.

The previous prime is 248784797. The next prime is 248784829. The reversal of 248784816 is 618487842.

248784816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30271 + ... + 37601.

Almost surely, 2^248784816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248784816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370940544).

248784816 is an abundant number, since it is smaller than the sum of its proper divisors (493096272).

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

248784816 is a wasteful number, since it uses less digits than its factorization.

248784816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7450 (or 7444 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 248784816 is about 15772.9139983708. The cubic root of 248784816 is about 628.9381760971.

The spelling of 248784816 in words is "two hundred forty-eight million, seven hundred eighty-four thousand, eight hundred sixteen".