406004420 has 24 divisors (see below), whose sum is σ = 854086464. Its totient is φ = 162120416.

The previous prime is 406004419. The next prime is 406004449. The reversal of 406004420 is 24400604.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 406004392 and 406004401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5552 + ... + 29031.

It is an arithmetic number, because the mean of its divisors is an integer number (35586936).

Almost surely, 2^406004420 is an apocalyptic number.

It is an amenable number.

406004420 is an abundant number, since it is smaller than the sum of its proper divisors (448082044).

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

406004420 is a wasteful number, since it uses less digits than its factorization.

406004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35179 (or 35177 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 406004420 is about 20149.5513597698. The cubic root of 406004420 is about 740.4747501414.

The spelling of 406004420 in words is "four hundred six million, four thousand, four hundred twenty".