406259712 has 240 divisors, whose sum is σ = 1268467200. Its totient is φ = 129392640.

The previous prime is 406259701. The next prime is 406259717. The reversal of 406259712 is 217952604.

406259712 is a `hidden beast` number, since 4 + 0 + 62 + 597 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406259717) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5142489 + ... + 5142567.

It is an arithmetic number, because the mean of its divisors is an integer number (5285280).

Almost surely, 2^406259712 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 406259712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634233600).

406259712 is an abundant number, since it is smaller than the sum of its proper divisors (862207488).

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

406259712 is an equidigital number, since it uses as much as digits as its factorization.

406259712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 406259712 is about 20155.8852943749. The cubic root of 406259712 is about 740.6299189547.

The spelling of 406259712 in words is "four hundred six million, two hundred fifty-nine thousand, seven hundred twelve".