264249216 has 320 divisors, whose sum is σ = 983410560. Its totient is φ = 68428800.

The previous prime is 264249211. The next prime is 264249217. The reversal of 264249216 is 612942462.

264249216 is a `hidden beast` number, since 2 + 642 + 4 + 9 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×264249216² = 139655296313229312, which contains 22 as substring.

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.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264249211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 798171 + ... + 798501.

It is an arithmetic number, because the mean of its divisors is an integer number (3073158).

Almost surely, 2^264249216 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 264249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491705280).

264249216 is an abundant number, since it is smaller than the sum of its proper divisors (719161344).

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

264249216 is a wasteful number, since it uses less digits than its factorization.

264249216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 354 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 264249216 is about 16255.7440924739. The cubic root of 264249216 is about 641.7086633408.

The spelling of 264249216 in words is "two hundred sixty-four million, two hundred forty-nine thousand, two hundred sixteen".