472842 has 24 divisors (see below), whose sum is σ = 1038180. Its totient is φ = 155520.

The previous prime is 472837. The next prime is 472847. The reversal of 472842 is 248274.

It is an interprime number because it is at equal distance from previous prime (472837) and next prime (472847).

It can be written as a sum of positive squares in 2 ways, for example, as 447561 + 25281 = 669^2 + 159^2 .

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472842.

It is not an unprimeable number, because it can be changed into a prime (472847) by changing a digit.

472842 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 11 ways as a sum of consecutive naturals, for example, 1842 + ... + 2082.

2⁴⁷²⁸⁴² is an apocalyptic number.

472842 is an abundant number, since it is smaller than the sum of its proper divisors (565338).

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

472842 is a wasteful number, since it uses less digits than its factorization.

472842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 355 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 472842 is about 687.6350776393. The cubic root of 472842 is about 77.9061988791.

The spelling of 472842 in words is "four hundred seventy-two thousand, eight hundred forty-two".