264316416 has 320 divisors, whose sum is σ = 909275136. Its totient is φ = 66355200.

The previous prime is 264316397. The next prime is 264316421. The reversal of 264316416 is 614613462.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4333026 + ... + 4333086.

Almost surely, 2^264316416 is an apocalyptic number.

264316416 is a gapful number since it is divisible by the number (26) 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 264316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454637568).

264316416 is an abundant number, since it is smaller than the sum of its proper divisors (644958720).

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

264316416 is a wasteful number, since it uses less digits than its factorization.

264316416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 264316416 is about 16257.8109227534. The cubic root of 264316416 is about 641.7630553876.

Adding to 264316416 its reverse (614613462), we get a palindrome (878929878).

The spelling of 264316416 in words is "two hundred sixty-four million, three hundred sixteen thousand, four hundred sixteen".