4264090000 has 75 divisors (see below), whose sum is σ = 10339622293. Its totient is φ = 1703024000.

The previous prime is 4264089997. The next prime is 4264090001. The reversal of 4264090000 is 904624.

The square root of 4264090000 is 65300.

It is a perfect power (a square), and thus also a powerful number.

4264090000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 4061767824 + 202322176 = 63732^2 + 14224^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4264090001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6529674 + ... + 6530326.

Almost surely, 2^4264090000 is an apocalyptic number.

4264090000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4264090000 is the 65300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4264090000

4264090000 is an abundant number, since it is smaller than the sum of its proper divisors (6075532293).

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

4264090000 is an frugal number, since it uses more digits than its factorization.

4264090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The cubic root of 4264090000 is about 1621.5939704244.

Multiplying 4264090000 by its sum of digits (25), we get a square (106602250000 = 326500²).

4264090000 divided by its sum of digits (25) gives a square (170563600 = 13060²).

Adding to 4264090000 its reverse (904624), we get a palindrome (4264994624).

The spelling of 4264090000 in words is "four billion, two hundred sixty-four million, ninety thousand".