4092800625 has 45 divisors (see below), whose sum is σ = 7396084839. Its totient is φ = 2180268000.

The previous prime is 4092800623. The next prime is 4092800627. The reversal of 4092800625 is 5260082904.

It is a happy number.

The square root of 4092800625 is 63975.

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

4092800625 is a `hidden beast` number, since 4 + 0 + 9 + 28 + 0 + 0 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (4092800623) and next prime (4092800627).

It can be written as a sum of positive squares in 7 ways, for example, as 4085894241 + 6906384 = 63921^2 + 2628^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 4092800625 - 2¹ = 4092800623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4092800625.

It is not an unprimeable number, because it can be changed into a prime (4092800623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4797699 + ... + 4798551.

Almost surely, 2^4092800625 is an apocalyptic number.

4092800625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4092800625 is the 63975-th square number.

4092800625 is the 31988-th centered octagonal number.

It is an amenable number.

4092800625 is a deficient number, since it is larger than the sum of its proper divisors (3303284214).

4092800625 is an frugal number, since it uses more digits than its factorization.

4092800625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 4092800625 is about 1599.5833062019.

Multiplying 4092800625 by its sum of digits (36), we get a square (147340822500 = 383850²).

The spelling of 4092800625 in words is "four billion, ninety-two million, eight hundred thousand, six hundred twenty-five".