264963816 has 192 divisors, whose sum is σ = 833414400. Its totient is φ = 75354624.

The previous prime is 264963799. The next prime is 264963817. The reversal of 264963816 is 618369462.

264963816 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 638 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (264963817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835690 + ... + 836006.

It is an arithmetic number, because the mean of its divisors is an integer number (4340700).

Almost surely, 2^264963816 is an apocalyptic number.

264963816 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 264963816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416707200).

264963816 is an abundant number, since it is smaller than the sum of its proper divisors (568450584).

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

264963816 is a wasteful number, since it uses less digits than its factorization.

264963816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 264963816 is about 16277.7091754337. The cubic root of 264963816 is about 642.2865928640.

The spelling of 264963816 in words is "two hundred sixty-four million, nine hundred sixty-three thousand, eight hundred sixteen".