406801296 has 120 divisors (see below), whose sum is σ = 1315121184. Its totient is φ = 116014080.

The previous prime is 406801271. The next prime is 406801319. The reversal of 406801296 is 692108604.

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

It is a self number, because there is not a number n which added to its sum of digits gives 406801296.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19375 + ... + 34481.

Almost surely, 2^406801296 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 406801296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657560592).

406801296 is an abundant number, since it is smaller than the sum of its proper divisors (908319888).

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

406801296 is a wasteful number, since it uses less digits than its factorization.

406801296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15149 (or 15140 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 406801296 is about 20169.3157048027. The cubic root of 406801296 is about 740.9588835660.

The spelling of 406801296 in words is "four hundred six million, eight hundred one thousand, two hundred ninety-six".