473512 has 32 divisors (see below), whose sum is σ = 995400. Its totient is φ = 209664.

The previous prime is 473507. The next prime is 473513. The reversal of 473512 is 215374.

It can be written as a sum of positive squares in 4 ways, for example, as 285156 + 188356 = 534^2 + 434^2 .

It is a super-2 number, since 2×473512² = 448427228288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (473513) by changing a digit.

473512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2938 + ... + 3094.

2⁴⁷³⁵¹² 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 473512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497700).

473512 is an abundant number, since it is smaller than the sum of its proper divisors (521888).

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

473512 is a wasteful number, since it uses less digits than its factorization.

473512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 473512 is about 688.1220821918. The cubic root of 473512 is about 77.9429782676.

Adding to 473512 its reverse (215374), we get a palindrome (688886).

The spelling of 473512 in words is "four hundred seventy-three thousand, five hundred twelve".