264430848 has 144 divisors (see below), whose sum is σ = 777341376. Its totient is φ = 79134720.

The previous prime is 264430819. The next prime is 264430849. The reversal of 264430848 is 848034462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264430849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954486 + ... + 954762.

It is an arithmetic number, because the mean of its divisors is an integer number (5398204).

Almost surely, 2^264430848 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 264430848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388670688).

264430848 is an abundant number, since it is smaller than the sum of its proper divisors (512910528).

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

264430848 is a wasteful number, since it uses less digits than its factorization.

264430848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 264430848 is about 16261.3298349182. The cubic root of 264430848 is about 641.8556560612.

The spelling of 264430848 in words is "two hundred sixty-four million, four hundred thirty thousand, eight hundred forty-eight".