264049900 has 36 divisors (see below), whose sum is σ = 576338112. Its totient is φ = 105002560.

The previous prime is 264049883. The next prime is 264049931. The reversal of 264049900 is 9940462.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9669 + ... + 24931.

It is an arithmetic number, because the mean of its divisors is an integer number (16009392).

Almost surely, 2^264049900 is an apocalyptic number.

264049900 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 264049900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288169056).

264049900 is an abundant number, since it is smaller than the sum of its proper divisors (312288212).

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

264049900 is a wasteful number, since it uses less digits than its factorization.

264049900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15450 (or 15443 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 264049900 is about 16249.6123030674. The cubic root of 264049900 is about 641.5472816254.

The spelling of 264049900 in words is "two hundred sixty-four million, forty-nine thousand, nine hundred".