264433000 has 64 divisors (see below), whose sum is σ = 666403920. Its totient is φ = 97632000.

The previous prime is 264432997. The next prime is 264433009. The reversal of 264433000 is 334462.

It can be written as a sum of positive squares in 8 ways, for example, as 630436 + 263802564 = 794^2 + 16242^2 .

It is a super-2 number, since 2×264433000² = 139849622978000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264433009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2830 + ... + 23170.

Almost surely, 2^264433000 is an apocalyptic number.

264433000 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 264433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333201960).

264433000 is an abundant number, since it is smaller than the sum of its proper divisors (401970920).

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

264433000 is a wasteful number, since it uses less digits than its factorization.

264433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20375 (or 20361 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 264433000 is about 16261.3960040336. The cubic root of 264433000 is about 641.8573972469.

Adding to 264433000 its reverse (334462), we get a palindrome (264767462).

The spelling of 264433000 in words is "two hundred sixty-four million, four hundred thirty-three thousand".