406201928 has 64 divisors (see below), whose sum is σ = 872087040. Its totient is φ = 175680000.

The previous prime is 406201921. The next prime is 406201973. The reversal of 406201928 is 829102604.

It is a junction number, because it is equal to n+sod(n) for n = 406201894 and 406201903.

It is not an unprimeable number, because it can be changed into a prime (406201921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 165188 + ... + 167628.

It is an arithmetic number, because the mean of its divisors is an integer number (13626360).

Almost surely, 2^406201928 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 406201928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436043520).

406201928 is an abundant number, since it is smaller than the sum of its proper divisors (465885112).

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

406201928 is a wasteful number, since it uses less digits than its factorization.

406201928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 406201928 is about 20154.4518159140. The cubic root of 406201928 is about 740.5948030037.

The spelling of 406201928 in words is "four hundred six million, two hundred one thousand, nine hundred twenty-eight".