406776 has 32 divisors (see below), whose sum is σ = 1077840. Its totient is φ = 127488.

The previous prime is 406739. The next prime is 406789. The reversal of 406776 is 677604.

It is a congruent number.

It is an unprimeable number.

406776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91 + ... + 906.

2⁴⁰⁶⁷⁷⁶ 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 406776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538920).

406776 is an abundant number, since it is smaller than the sum of its proper divisors (671064).

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

406776 is a wasteful number, since it uses less digits than its factorization.

406776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 406776 is about 637.7899340692. The cubic root of 406776 is about 74.0943524975.

The spelling of 406776 in words is "four hundred six thousand, seven hundred seventy-six".