470106 has 72 divisors (see below), whose sum is σ = 1307124. Its totient is φ = 120960.

The previous prime is 470089. The next prime is 470131. The reversal of 470106 is 601074.

It can be written as a sum of positive squares in 2 ways, for example, as 370881 + 99225 = 609^2 + 315^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11446 + ... + 11486.

2⁴⁷⁰¹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653562).

470106 is an abundant number, since it is smaller than the sum of its proper divisors (837018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

470106 is a wasteful number, since it uses less digits than its factorization.

470106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 470106 is about 685.6427641272. The cubic root of 470106 is about 77.7556455546.

It can be divided in two parts, 470 and 106, that added together give a square (576 = 24²).

The spelling of 470106 in words is "four hundred seventy thousand, one hundred six".