264204820 has 96 divisors (see below), whose sum is σ = 656885376. Its totient is φ = 88166400.

The previous prime is 264204793. The next prime is 264204821. The reversal of 264204820 is 28402462.

It is a super-2 number, since 2×264204820² = 139608373822464800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264204821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152479 + ... + 154201.

It is an arithmetic number, because the mean of its divisors is an integer number (6842556).

Almost surely, 2^264204820 is an apocalyptic number.

264204820 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 264204820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328442688).

264204820 is an abundant number, since it is smaller than the sum of its proper divisors (392680556).

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

264204820 is a wasteful number, since it uses less digits than its factorization.

264204820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 264204820 is about 16254.3784870416. The cubic root of 264204820 is about 641.6727239173.

The spelling of 264204820 in words is "two hundred sixty-four million, two hundred four thousand, eight hundred twenty".