406445688 has 192 divisors, whose sum is σ = 1265846400. Its totient is φ = 121150080.

The previous prime is 406445687. The next prime is 406445717. The reversal of 406445688 is 886544604.

406445688 is a `hidden beast` number, since 40 + 6 + 44 + 568 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406445687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774758 + ... + 1774986.

It is an arithmetic number, because the mean of its divisors is an integer number (6592950).

Almost surely, 2^406445688 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 406445688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632923200).

406445688 is an abundant number, since it is smaller than the sum of its proper divisors (859400712).

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

406445688 is a wasteful number, since it uses less digits than its factorization.

406445688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 406445688 is about 20160.4982081297. The cubic root of 406445688 is about 740.7429159474.

The spelling of 406445688 in words is "four hundred six million, four hundred forty-five thousand, six hundred eighty-eight".