264213780 has 48 divisors (see below), whose sum is σ = 765313920. Its totient is φ = 68027008.

The previous prime is 264213773. The next prime is 264213821. The reversal of 264213780 is 87312462.

It is a super-3 number, since 3×264213780³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 74184 + ... + 77663.

It is an arithmetic number, because the mean of its divisors is an integer number (15944040).

Almost surely, 2^264213780 is an apocalyptic number.

264213780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264213780 is an abundant number, since it is smaller than the sum of its proper divisors (501100140).

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

264213780 is a wasteful number, since it uses less digits than its factorization.

264213780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151888 (or 151886 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 264213780 is about 16254.6541027485. The cubic root of 264213780 is about 641.6799775354.

The spelling of 264213780 in words is "two hundred sixty-four million, two hundred thirteen thousand, seven hundred eighty".