264421000 has 64 divisors (see below), whose sum is σ = 621606960. Its totient is φ = 105280000.

The previous prime is 264420991. The next prime is 264421021. The reversal of 264421000 is 124462.

It can be written as a sum of positive squares in 8 ways, for example, as 27815076 + 236605924 = 5274^2 + 15382^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280530 + ... + 281470.

Almost surely, 2^264421000 is an apocalyptic number.

264421000 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 264421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310803480).

264421000 is an abundant number, since it is smaller than the sum of its proper divisors (357185960).

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

264421000 is a wasteful number, since it uses less digits than its factorization.

264421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 264421000 is about 16261.0270278356. The cubic root of 264421000 is about 641.8476879125.

Adding to 264421000 its reverse (124462), we get a palindrome (264545462).

The spelling of 264421000 in words is "two hundred sixty-four million, four hundred twenty-one thousand".