842472 has 24 divisors (see below), whose sum is σ = 2281890. Its totient is φ = 280800.

The previous prime is 842449. The next prime is 842473. The reversal of 842472 is 274248.

It can be written as a sum of positive squares in only one way, i.e., 617796 + 224676 = 786^2 + 474^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (842473) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5779 + ... + 5922.

2⁸⁴²⁴⁷² is an apocalyptic number.

It is an amenable number.

842472 is an abundant number, since it is smaller than the sum of its proper divisors (1439418).

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

842472 is a wasteful number, since it uses less digits than its factorization.

842472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11713 (or 11706 counting only the distinct ones).

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

The square root of 842472 is about 917.8627348357. The cubic root of 842472 is about 94.4463456237.

It can be divided in two parts, 84 and 2472, that added together give a triangular number (2556 = T₇₁).

The spelling of 842472 in words is "eight hundred forty-two thousand, four hundred seventy-two".