4262784100 has 27 divisors (see below), whose sum is σ = 9251658507. Its totient is φ = 1704852480.

The previous prime is 4262784079. The next prime is 4262784101. The reversal of 4262784100 is 14872624.

It is a happy number.

The square root of 4262784100 is 65290.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1474099236 + 2788684864 = 38394^2 + 52808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4262784101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 649636 + ... + 656164.

Almost surely, 2^4262784100 is an apocalyptic number.

4262784100 is the 65290-th square number.

It is an amenable number.

4262784100 is an abundant number, since it is smaller than the sum of its proper divisors (4988874407).

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

4262784100 is an frugal number, since it uses more digits than its factorization.

4262784100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072 (or 6536 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The cubic root of 4262784100 is about 1621.4284129602.

The spelling of 4262784100 in words is "four billion, two hundred sixty-two million, seven hundred eighty-four thousand, one hundred".