406644352 has 32 divisors (see below), whose sum is σ = 857770020. Its totient is φ = 191361024.

The previous prime is 406644323. The next prime is 406644353. The reversal of 406644352 is 253446604.

It can be written as a sum of positive squares in 2 ways, for example, as 386358336 + 20286016 = 19656^2 + 4504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (406644353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91263 + ... + 95614.

Almost surely, 2^406644352 is an apocalyptic number.

It is an amenable number.

406644352 is an abundant number, since it is smaller than the sum of its proper divisors (451125668).

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

406644352 is a wasteful number, since it uses less digits than its factorization.

406644352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186908 (or 186896 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 406644352 is about 20165.4246669888. The cubic root of 406644352 is about 740.8635839606.

The spelling of 406644352 in words is "four hundred six million, six hundred forty-four thousand, three hundred fifty-two".