264857208 has 128 divisors (see below), whose sum is σ = 830269440. Its totient is φ = 68400000.

The previous prime is 264857183. The next prime is 264857209. The reversal of 264857208 is 802758462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 264857208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264857209) 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, 463563 + ... + 464133.

It is an arithmetic number, because the mean of its divisors is an integer number (6486480).

Almost surely, 2^264857208 is an apocalyptic number.

264857208 is a gapful number since it is divisible by the number (28) 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 264857208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720).

264857208 is an abundant number, since it is smaller than the sum of its proper divisors (565412232).

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

264857208 is a wasteful number, since it uses less digits than its factorization.

264857208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 264857208 is about 16274.4341837128. The cubic root of 264857208 is about 642.2004401262.

The spelling of 264857208 in words is "two hundred sixty-four million, eight hundred fifty-seven thousand, two hundred eight".