406308852 has 96 divisors (see below), whose sum is σ = 1092268800. Its totient is φ = 130521600.

The previous prime is 406308827. The next prime is 406308871. The reversal of 406308852 is 258803604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393577 + ... + 394607.

It is an arithmetic number, because the mean of its divisors is an integer number (11377800).

Almost surely, 2^406308852 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 406308852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546134400).

406308852 is an abundant number, since it is smaller than the sum of its proper divisors (685959948).

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

406308852 is a wasteful number, since it uses less digits than its factorization.

406308852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 406308852 is about 20157.1042563162. The cubic root of 406308852 is about 740.6597792352.

The spelling of 406308852 in words is "four hundred six million, three hundred eight thousand, eight hundred fifty-two".