406505632 has 96 divisors (see below), whose sum is σ = 932746752. Its totient is φ = 172683264.

The previous prime is 406505629. The next prime is 406505663. The reversal of 406505632 is 236505604.

It is a junction number, because it is equal to n+sod(n) for n = 406505594 and 406505603.

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 15 ways as a sum of consecutive naturals, for example, 331773 + ... + 332995.

It is an arithmetic number, because the mean of its divisors is an integer number (9716112).

Almost surely, 2^406505632 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 406505632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466373376).

406505632 is an abundant number, since it is smaller than the sum of its proper divisors (526241120).

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

406505632 is a wasteful number, since it uses less digits than its factorization.

406505632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 406505632 is about 20161.9848229285. The cubic root of 406505632 is about 740.7793299235.

The spelling of 406505632 in words is "four hundred six million, five hundred five thousand, six hundred thirty-two".