845424 has 80 divisors (see below), whose sum is σ = 2579200. Its totient is φ = 264384.

The previous prime is 845387. The next prime is 845431. The reversal of 845424 is 424548.

845424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 845424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8157 + ... + 8259.

It is an arithmetic number, because the mean of its divisors is an integer number (32240).

2⁸⁴⁵⁴²⁴ 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 845424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289600).

845424 is an abundant number, since it is smaller than the sum of its proper divisors (1733776).

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

845424 is a wasteful number, since it uses less digits than its factorization.

845424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 845424 is about 919.4694122155. The cubic root of 845424 is about 94.5565295436.

The spelling of 845424 in words is "eight hundred forty-five thousand, four hundred twenty-four".