264553300 has 36 divisors (see below), whose sum is σ = 626272416. Its totient is φ = 96200800.

The previous prime is 264553273. The next prime is 264553307. The reversal of 264553300 is 3355462.

264553300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264553307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119152 + ... + 121351.

It is an arithmetic number, because the mean of its divisors is an integer number (17396456).

Almost surely, 2^264553300 is an apocalyptic number.

264553300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264553300 is an abundant number, since it is smaller than the sum of its proper divisors (361719116).

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

264553300 is a wasteful number, since it uses less digits than its factorization.

264553300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240528 (or 240521 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 264553300 is about 16265.0945278532. The cubic root of 264553300 is about 641.9547170954.

It can be divided in two parts, 2645 and 53300, that added together give a triangular number (55945 = T₃₃₄).

The spelling of 264553300 in words is "two hundred sixty-four million, five hundred fifty-three thousand, three hundred".