406820240 has 40 divisors (see below), whose sum is σ = 958827768. Its totient is φ = 160496640.

The previous prime is 406820237. The next prime is 406820263. The reversal of 406820240 is 42028604.

It can be written as a sum of positive squares in 4 ways, for example, as 2166784 + 404653456 = 1472^2 + 20116^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28991 + ... + 40670.

Almost surely, 2^406820240 is an apocalyptic number.

406820240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406820240 is an abundant number, since it is smaller than the sum of its proper divisors (552007528).

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

406820240 is a wasteful number, since it uses less digits than its factorization.

406820240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69747 (or 69741 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 406820240 is about 20169.7853235973. The cubic root of 406820240 is about 740.9703850922.

Adding to 406820240 its reverse (42028604), we get a palindrome (448848844).

The spelling of 406820240 in words is "four hundred six million, eight hundred twenty thousand, two hundred forty".