264500420 has 48 divisors (see below), whose sum is σ = 574847280. Its totient is φ = 102150144.

The previous prime is 264500413. The next prime is 264500449. The reversal of 264500420 is 24005462.

It can be written as a sum of positive squares in 8 ways, for example, as 9523396 + 254977024 = 3086^2 + 15968^2 .

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, 100076 + ... + 102684.

It is an arithmetic number, because the mean of its divisors is an integer number (11975985).

Almost surely, 2^264500420 is an apocalyptic number.

264500420 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 264500420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287423640).

264500420 is an abundant number, since it is smaller than the sum of its proper divisors (310346860).

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

264500420 is a wasteful number, since it uses less digits than its factorization.

264500420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 264500420 is about 16263.4688796702. The cubic root of 264500420 is about 641.9119420636.

Adding to 264500420 its reverse (24005462), we get a palindrome (288505882).

The spelling of 264500420 in words is "two hundred sixty-four million, five hundred thousand, four hundred twenty".