264064416 has 192 divisors, whose sum is σ = 873815040. Its totient is φ = 67829760.

The previous prime is 264064397. The next prime is 264064439. The reversal of 264064416 is 614460462.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1027360 + ... + 1027616.

It is an arithmetic number, because the mean of its divisors is an integer number (4551120).

Almost surely, 2^264064416 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 264064416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436907520).

264064416 is an abundant number, since it is smaller than the sum of its proper divisors (609750624).

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

264064416 is a wasteful number, since it uses less digits than its factorization.

264064416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 264064416 is about 16250.0589537392. The cubic root of 264064416 is about 641.5590376479.

The spelling of 264064416 in words is "two hundred sixty-four million, sixty-four thousand, four hundred sixteen".