264233190 has 128 divisors (see below), whose sum is σ = 726566400. Its totient is φ = 61326720.

The previous prime is 264233161. The next prime is 264233191. The reversal of 264233190 is 91332462.

It is a super-2 number, since 2×264233190² = 139638357395152200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264233191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1252185 + ... + 1252395.

It is an arithmetic number, because the mean of its divisors is an integer number (5676300).

Almost surely, 2^264233190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264233190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363283200).

264233190 is an abundant number, since it is smaller than the sum of its proper divisors (462333210).

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

264233190 is a wasteful number, since it uses less digits than its factorization.

264233190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 264233190 is about 16255.2511515510. The cubic root of 264233190 is about 641.6956904471.

The spelling of 264233190 in words is "two hundred sixty-four million, two hundred thirty-three thousand, one hundred ninety".