406303296 has 168 divisors, whose sum is σ = 1316918880. Its totient is φ = 109928448.

The previous prime is 406303291. The next prime is 406303307. The reversal of 406303296 is 692303604.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (406303291) 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, 177616 + ... + 179888.

Almost surely, 2^406303296 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 406303296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658459440).

406303296 is an abundant number, since it is smaller than the sum of its proper divisors (910615584).

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

406303296 is a wasteful number, since it uses less digits than its factorization.

406303296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 406303296 is about 20156.9664384302. The cubic root of 406303296 is about 740.6564032119.

The spelling of 406303296 in words is "four hundred six million, three hundred three thousand, two hundred ninety-six".