473625 has 24 divisors (see below), whose sum is σ = 855816. Its totient is φ = 252000.

The previous prime is 473617. The next prime is 473633. The reversal of 473625 is 526374.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (473617) and next prime (473633).

It can be written as a sum of positive squares in 4 ways, for example, as 138384 + 335241 = 372^2 + 579^2 .

It is not a de Polignac number, because 473625 - 2³ = 473617 is a prime.

It is a d-powerful number, because it can be written as 4⁸ + 7⁶ + 6⁷ + 3⁷ + 2¹³ + 5³ .

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 473625.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915 + ... + 1335.

It is an arithmetic number, because the mean of its divisors is an integer number (35659).

2⁴⁷³⁶²⁵ is an apocalyptic number.

473625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

473625 is a deficient number, since it is larger than the sum of its proper divisors (382191).

473625 is a wasteful number, since it uses less digits than its factorization.

473625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 429 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 473625 is about 688.2041848173. The cubic root of 473625 is about 77.9491779387.

Adding to 473625 its reverse (526374), we get a palindrome (999999).

It can be divided in two parts, 4736 and 25, that added together give a square (4761 = 69²).

The spelling of 473625 in words is "four hundred seventy-three thousand, six hundred twenty-five".