406232736 has 288 divisors, whose sum is σ = 1365033600. Its totient is φ = 105670656.

The previous prime is 406232719. The next prime is 406232747. The reversal of 406232736 is 637232604.

It is a junction number, because it is equal to n+sod(n) for n = 406232697 and 406232706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5564796 + ... + 5564868.

It is an arithmetic number, because the mean of its divisors is an integer number (4739700).

Almost surely, 2^406232736 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 406232736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682516800).

406232736 is an abundant number, since it is smaller than the sum of its proper divisors (958800864).

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

406232736 is a wasteful number, since it uses less digits than its factorization.

406232736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 406232736 is about 20155.2160990648. The cubic root of 406232736 is about 740.6135257672.

The spelling of 406232736 in words is "four hundred six million, two hundred thirty-two thousand, seven hundred thirty-six".