475629 has 32 divisors (see below), whose sum is σ = 829440. Its totient is φ = 235200.

The previous prime is 475621. The next prime is 475637. The reversal of 475629 is 926574.

It is an interprime number because it is at equal distance from previous prime (475621) and next prime (475637).

It is not a de Polignac number, because 475629 - 2³ = 475621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 475629.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 475629.

It is not an unprimeable number, because it can be changed into a prime (475621) 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 31 ways as a sum of consecutive naturals, for example, 6664 + ... + 6734.

It is an arithmetic number, because the mean of its divisors is an integer number (25920).

2⁴⁷⁵⁶²⁹ is an apocalyptic number.

It is an amenable number.

475629 is a deficient number, since it is larger than the sum of its proper divisors (353811).

475629 is a wasteful number, since it uses less digits than its factorization.

475629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121.

The product of its digits is 15120, while the sum is 33.

The square root of 475629 is about 689.6586111983. The cubic root of 475629 is about 78.0589626491.

The spelling of 475629 in words is "four hundred seventy-five thousand, six hundred twenty-nine".