406596992 has 64 divisors (see below), whose sum is σ = 855951360. Its totient is φ = 192084480.

The previous prime is 406596989. The next prime is 406597001. The reversal of 406596992 is 299695604.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×406596992² = 330642227806896128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 406596992.

It is a congruent number.

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, 169433 + ... + 171815.

It is an arithmetic number, because the mean of its divisors is an integer number (13374240).

Almost surely, 2^406596992 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 406596992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427975680).

406596992 is an abundant number, since it is smaller than the sum of its proper divisors (449354368).

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

406596992 is a wasteful number, since it uses less digits than its factorization.

406596992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 50.

The square root of 406596992 is about 20164.2503455993. The cubic root of 406596992 is about 740.8348211843.

The spelling of 406596992 in words is "four hundred six million, five hundred ninety-six thousand, nine hundred ninety-two".