406226940 has 96 divisors (see below), whose sum is σ = 1303357440. Its totient is φ = 92606976.

The previous prime is 406226921. The next prime is 406226971. The reversal of 406226940 is 49622604.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193416 + ... + 195504.

It is an arithmetic number, because the mean of its divisors is an integer number (13576640).

Almost surely, 2^406226940 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 406226940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651678720).

406226940 is an abundant number, since it is smaller than the sum of its proper divisors (897130500).

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

406226940 is a wasteful number, since it uses less digits than its factorization.

406226940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 406226940 is about 20155.0723144324. The cubic root of 406226940 is about 740.6100034707.

The spelling of 406226940 in words is "four hundred six million, two hundred twenty-six thousand, nine hundred forty".