406649376 has 192 divisors, whose sum is σ = 1376040960. Its totient is φ = 114428160.

The previous prime is 406649297. The next prime is 406649377. The reversal of 406649376 is 673946604.

It is not an unprimeable number, because it can be changed into a prime (406649377) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 428935 + ... + 429881.

It is an arithmetic number, because the mean of its divisors is an integer number (7166880).

Almost surely, 2^406649376 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 406649376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688020480).

406649376 is an abundant number, since it is smaller than the sum of its proper divisors (969391584).

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

406649376 is a wasteful number, since it uses less digits than its factorization.

406649376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 406649376 is about 20165.5492362593. The cubic root of 406649376 is about 740.8666350160.

The spelling of 406649376 in words is "four hundred six million, six hundred forty-nine thousand, three hundred seventy-six".