474516 has 54 divisors (see below), whose sum is σ = 1400490. Its totient is φ = 135072.

The previous prime is 474503. The next prime is 474533. The reversal of 474516 is 615474.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 176400 = 546^2 + 420^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 474516.

It is a congruent number.

It is an unprimeable number.

474516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 1630 + ... + 1898.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2⁴⁷⁴⁵¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700245).

474516 is an abundant number, since it is smaller than the sum of its proper divisors (925974).

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

474516 is a wasteful number, since it uses less digits than its factorization.

474516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 474516 is about 688.8512176080. The cubic root of 474516 is about 77.9980275635.

It can be divided in two parts, 4745 and 16, that added together give a square (4761 = 69²).

The spelling of 474516 in words is "four hundred seventy-four thousand, five hundred sixteen".