4277552409 has 75 divisors (see below), whose sum is σ = 7087128873. Its totient is φ = 2571122736.

The previous prime is 4277552401. The next prime is 4277552417. The reversal of 4277552409 is 9042557724.

The square root of 4277552409 is 65403.

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

It is an interprime number because it is at equal distance from previous prime (4277552401) and next prime (4277552417).

It can be written as a sum of positive squares in 2 ways, for example, as 2120878809 + 2156673600 = 46053^2 + 46440^2 .

It is not a de Polignac number, because 4277552409 - 2³ = 4277552401 is a prime.

It is a super-2 number, since 2×4277552409² = 36594909223483406562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4277552401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 99477942 + ... + 99477984.

Almost surely, 2^4277552409 is an apocalyptic number.

4277552409 is the 65403-rd square number.

4277552409 is the 32702-nd centered octagonal number.

It is an amenable number.

4277552409 is a deficient number, since it is larger than the sum of its proper divisors (2809576464).

4277552409 is an frugal number, since it uses more digits than its factorization.

4277552409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The cubic root of 4277552409 is about 1623.2987208159.

The spelling of 4277552409 in words is "four billion, two hundred seventy-seven million, five hundred fifty-two thousand, four hundred nine".