845460 has 144 divisors (see below), whose sum is σ = 3249792. Its totient is φ = 172800.

The previous prime is 845459. The next prime is 845489. The reversal of 845460 is 64548.

845460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×845460² = 1429605223200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13830 + ... + 13890.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2⁸⁴⁵⁴⁶⁰ 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 845460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896).

845460 is an abundant number, since it is smaller than the sum of its proper divisors (2404332).

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

845460 is a wasteful number, since it uses less digits than its factorization.

845460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 845460 is about 919.4889885148. The cubic root of 845460 is about 94.5578716657.

The spelling of 845460 in words is "eight hundred forty-five thousand, four hundred sixty".