465744827025 has 27 divisors (see below), whose sum is σ = 834219070321. Its totient is φ = 248391781440.

The previous prime is 465744826991. The next prime is 465744827059. The reversal of 465744827025 is 520728447564.

The square root of 465744827025 is 682455.

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

465744827025 is a `hidden beast` number, since 4 + 6 + 5 + 74 + 482 + 70 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (465744826991) and next prime (465744827059).

It can be written as a sum of positive squares in 4 ways, for example, as 109608007041 + 356136819984 = 331071^2 + 596772^2 .

It is not a de Polignac number, because 465744827025 - 2¹⁷ = 465744695953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10214077 + ... + 10259573.

Almost surely, 2^465744827025 is an apocalyptic number.

465744827025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

465744827025 is the 682455-th square number.

465744827025 is the 341228-th centered octagonal number.

It is an amenable number.

465744827025 is a deficient number, since it is larger than the sum of its proper divisors (368474243296).

465744827025 is an frugal number, since it uses more digits than its factorization.

465744827025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91010 (or 45505 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

It can be divided in two parts, 465744 and 827025, that added together give a square (1292769 = 1137²).

The spelling of 465744827025 in words is "four hundred sixty-five billion, seven hundred forty-four million, eight hundred twenty-seven thousand, twenty-five".