264853920 has 192 divisors, whose sum is σ = 889418880. Its totient is φ = 66060288.

The previous prime is 264853889. The next prime is 264853921. The reversal of 264853920 is 29358462.

It is a happy number.

264853920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (264853921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030432 + ... + 1030688.

It is an arithmetic number, because the mean of its divisors is an integer number (4632390).

Almost surely, 2^264853920 is an apocalyptic number.

264853920 is a gapful number since it is divisible by the number (20) 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 264853920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444709440).

264853920 is an abundant number, since it is smaller than the sum of its proper divisors (624564960).

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

264853920 is a wasteful number, since it uses less digits than its factorization.

264853920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 264853920 is about 16274.3331660624. Note that the first 3 decimals coincide. The cubic root of 264853920 is about 642.1977826392.

The spelling of 264853920 in words is "two hundred sixty-four million, eight hundred fifty-three thousand, nine hundred twenty".