406251692 has 72 divisors (see below), whose sum is σ = 940235520. Its totient is φ = 149925600.

The previous prime is 406251689. The next prime is 406251697. The reversal of 406251692 is 296152604.

It is a happy number.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (406251697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61217 + ... + 67527.

Almost surely, 2^406251692 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 406251692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470117760).

406251692 is an abundant number, since it is smaller than the sum of its proper divisors (533983828).

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

406251692 is a wasteful number, since it uses less digits than its factorization.

406251692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 406251692 is about 20155.6863440569. The cubic root of 406251692 is about 740.6250453144.

The spelling of 406251692 in words is "four hundred six million, two hundred fifty-one thousand, six hundred ninety-two".