264033000 has 512 divisors, whose sum is σ = 1150156800. Its totient is φ = 54432000.

The previous prime is 264032971. The next prime is 264033017. The reversal of 264033000 is 330462.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 127 ways as a sum of consecutive naturals, for example, 2078937 + ... + 2079063.

It is an arithmetic number, because the mean of its divisors is an integer number (2246400).

Almost surely, 2^264033000 is an apocalyptic number.

264033000 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 264033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575078400).

264033000 is an abundant number, since it is smaller than the sum of its proper divisors (886123800).

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

264033000 is a wasteful number, since it uses less digits than its factorization.

264033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 264033000 is about 16249.0922823400. The cubic root of 264033000 is about 641.5335943383.

Adding to 264033000 its reverse (330462), we get a palindrome (264363462).

It can be divided in two parts, 26403 and 3000, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 264033000 in words is "two hundred sixty-four million, thirty-three thousand".