459888025 has 9 divisors (see below), whose sum is σ = 570394141. Its totient is φ = 367824640.

The previous prime is 459888017. The next prime is 459888043. The reversal of 459888025 is 520888954.

The square root of 459888025 is 21445.

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 69272329 + 390615696 = 8323^2 + 19764^2 .

It is not a de Polignac number, because 459888025 - 2³ = 459888017 is a prime.

It is a super-2 number, since 2×459888025² = 422993991076801250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 459888025.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105081 + ... + 109369.

Almost surely, 2^459888025 is an apocalyptic number.

459888025 is the 21445-th square number.

459888025 is the 10723-rd centered octagonal number.

It is an amenable number.

459888025 is a deficient number, since it is larger than the sum of its proper divisors (110506116).

459888025 is an frugal number, since it uses more digits than its factorization.

459888025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8588 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 49.

The cubic root of 459888025 is about 771.8816212887.

Multiplying 459888025 by its sum of digits (49), we get a square (22534513225 = 150115²).

Multiplying 459888025 by its product of nonzero digits (921600), we get a square (423832803840000 = 20587200²).

The spelling of 459888025 in words is "four hundred fifty-nine million, eight hundred eighty-eight thousand, twenty-five".