406428 has 24 divisors (see below), whose sum is σ = 1034880. Its totient is φ = 123120.

The previous prime is 406423. The next prime is 406447. The reversal of 406428 is 824604.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 406398 and 406407.

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 406428.

It is not an unprimeable number, because it can be changed into a prime (406423) by changing a digit.

406428 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, 1408 + ... + 1671.

It is an arithmetic number, because the mean of its divisors is an integer number (43120).

2⁴⁰⁶⁴²⁸ is an apocalyptic number.

It is an amenable number.

406428 is an abundant number, since it is smaller than the sum of its proper divisors (628452).

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

406428 is a wasteful number, since it uses less digits than its factorization.

406428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 406428 is about 637.5170585953. The cubic root of 406428 is about 74.0732170395.

The spelling of 406428 in words is "four hundred six thousand, four hundred twenty-eight".