469805625 has 75 divisors (see below), whose sum is σ = 900987373. Its totient is φ = 235824000.

The previous prime is 469805617. The next prime is 469805627. The reversal of 469805625 is 526508964.

The square root of 469805625 is 21675.

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

469805625 is a `hidden beast` number, since 4 + 6 + 9 + 80 + 562 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 426876921 + 42928704 = 20661^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 469805625 - 2³ = 469805617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (469805627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 27635617 + ... + 27635633.

Almost surely, 2^469805625 is an apocalyptic number.

469805625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

469805625 is the 21675-th square number.

469805625 is the 10838-th centered octagonal number.

It is an amenable number.

469805625 is a deficient number, since it is larger than the sum of its proper divisors (431181748).

469805625 is an frugal number, since it uses more digits than its factorization.

469805625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The cubic root of 469805625 is about 777.3908132705.

Multiplying 469805625 by its product of nonzero digits (518400), we get a square (243547236000000 = 15606000²).

The spelling of 469805625 in words is "four hundred sixty-nine million, eight hundred five thousand, six hundred twenty-five".