845408 has 24 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 407680.

The previous prime is 845387. The next prime is 845431. The reversal of 845408 is 804548.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 473 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2⁸⁴⁵⁴⁰⁸ 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 845408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840).

845408 is an abundant number, since it is smaller than the sum of its proper divisors (878272).

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

845408 is a wasteful number, since it uses less digits than its factorization.

845408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 845408 is about 919.4607115043. The cubic root of 845408 is about 94.5559330326. Note that the first 3 decimals are identical.

It can be divided in two parts, 84540 and 8, that added together give a palindrome (84548).

The spelling of 845408 in words is "eight hundred forty-five thousand, four hundred eight".