406890 has 64 divisors (see below), whose sum is σ = 1192320. Its totient is φ = 97920.

The previous prime is 406883. The next prime is 406907. The reversal of 406890 is 98604.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2902 + ... + 3038.

It is an arithmetic number, because the mean of its divisors is an integer number (18630).

2⁴⁰⁶⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596160).

406890 is an abundant number, since it is smaller than the sum of its proper divisors (785430).

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

406890 is a wasteful number, since it uses less digits than its factorization.

406890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 406890 is about 637.8792989273. The cubic root of 406890 is about 74.1012735607.

It can be divided in two parts, 406 and 890, that added together give a 4-th power (1296 = 6⁴).

The spelling of 406890 in words is "four hundred six thousand, eight hundred ninety".