474306 has 32 divisors (see below), whose sum is σ = 1133568. Its totient is φ = 129360.

The previous prime is 474289. The next prime is 474307. The reversal of 474306 is 603474.

It is not an unprimeable number, because it can be changed into a prime (474307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (35424).

2⁴⁷⁴³⁰⁶ is an apocalyptic number.

474306 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 474306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566784).

474306 is an abundant number, since it is smaller than the sum of its proper divisors (659262).

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

474306 is a wasteful number, since it uses less digits than its factorization.

474306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 474306 is about 688.6987730496. The cubic root of 474306 is about 77.9865196954.

It can be divided in two parts, 474 and 306, that added together give a triangular number (780 = T₃₉).

The spelling of 474306 in words is "four hundred seventy-four thousand, three hundred six".