264220000 has 120 divisors (see below), whose sum is σ = 709704072. Its totient is φ = 96000000.

The previous prime is 264219983. The next prime is 264220007. The reversal of 264220000 is 22462.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264220007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219400 + ... + 220600.

Almost surely, 2^264220000 is an apocalyptic number.

264220000 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 264220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354852036).

264220000 is an abundant number, since it is smaller than the sum of its proper divisors (445484072).

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

264220000 is a wasteful number, since it uses less digits than its factorization.

264220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 264220000 is about 16254.8454314398. The cubic root of 264220000 is about 641.6850128747.

Adding to 264220000 its reverse (22462), we get a palindrome (264242462).

The spelling of 264220000 in words is "two hundred sixty-four million, two hundred twenty thousand".