406428435 has 112 divisors (see below), whose sum is σ = 885802176. Its totient is φ = 174680064.

The previous prime is 406428361. The next prime is 406428439. The reversal of 406428435 is 534824604.

406428435 is a `hidden beast` number, since 4 + 0 + 642 + 8 + 4 + 3 + 5 = 666.

It is not a de Polignac number, because 406428435 - 2⁸ = 406428179 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 406428435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406428439) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 433287 + ... + 434223.

It is an arithmetic number, because the mean of its divisors is an integer number (7908948).

Almost surely, 2^406428435 is an apocalyptic number.

406428435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

406428435 is an abundant number, since it is smaller than the sum of its proper divisors (479373741).

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

406428435 is an equidigital number, since it uses as much as digits as its factorization.

406428435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 406428435 is about 20160.0703123774. The cubic root of 406428435 is about 740.7324346632.

The spelling of 406428435 in words is "four hundred six million, four hundred twenty-eight thousand, four hundred thirty-five".