264494160 has 500 divisors, whose sum is σ = 1134707508. Its totient is φ = 56899584.

The previous prime is 264494141. The next prime is 264494171. The reversal of 264494160 is 61494462.

264494160 is a `hidden beast` number, since 2 + 6 + 4 + 494 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 152473104 + 112021056 = 12348^2 + 10584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 15558472 + ... + 15558488.

Almost surely, 2^264494160 is an apocalyptic number.

264494160 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 264494160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567353754).

264494160 is an abundant number, since it is smaller than the sum of its proper divisors (870213348).

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

264494160 is an equidigital number, since it uses as much as digits as its factorization.

264494160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

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

The square root of 264494160 is about 16263.2764226647. The cubic root of 264494160 is about 641.9068779249.

The spelling of 264494160 in words is "two hundred sixty-four million, four hundred ninety-four thousand, one hundred sixty".