248334336 has 144 divisors (see below), whose sum is σ = 745290000. Its totient is φ = 82612224.

The previous prime is 248334329. The next prime is 248334341. The reversal of 248334336 is 633433842.

It is a tau number, because it is divible by the number of its divisors (144).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 248334336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497415 + ... + 497913.

It is an arithmetic number, because the mean of its divisors is an integer number (5175625).

Almost surely, 2^248334336 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 248334336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372645000).

248334336 is an abundant number, since it is smaller than the sum of its proper divisors (496955664).

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

248334336 is an frugal number, since it uses more digits than its factorization.

248334336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 504 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 248334336 is about 15758.6273513907. The cubic root of 248334336 is about 628.5583361303.

The spelling of 248334336 in words is "two hundred forty-eight million, three hundred thirty-four thousand, three hundred thirty-six".