264449416 has 64 divisors (see below), whose sum is σ = 654583680. Its totient is φ = 96967680.

The previous prime is 264449413. The next prime is 264449417. The reversal of 264449416 is 614944462.

264449416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (264449413) 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, 2155 + ... + 23098.

It is an arithmetic number, because the mean of its divisors is an integer number (10227870).

Almost surely, 2^264449416 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 264449416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327291840).

264449416 is an abundant number, since it is smaller than the sum of its proper divisors (390134264).

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

264449416 is a wasteful number, since it uses less digits than its factorization.

264449416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25294 (or 25290 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 264449416 is about 16261.9007499124. The cubic root of 264449416 is about 641.8706791406.

The spelling of 264449416 in words is "two hundred sixty-four million, four hundred forty-nine thousand, four hundred sixteen".