406084240 has 20 divisors (see below), whose sum is σ = 944146044. Its totient is φ = 162433664.

The previous prime is 406084201. The next prime is 406084241. The reversal of 406084240 is 42480604.

It can be written as a sum of positive squares in 2 ways, for example, as 90098064 + 315986176 = 9492^2 + 17776^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 406084199 and 406084208.

It is not an unprimeable number, because it can be changed into a prime (406084241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2537947 + ... + 2538106.

Almost surely, 2^406084240 is an apocalyptic number.

406084240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406084240 is an abundant number, since it is smaller than the sum of its proper divisors (538061804).

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

406084240 is a wasteful number, since it uses less digits than its factorization.

406084240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076066 (or 5076060 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 406084240 is about 20151.5319516904. The cubic root of 406084240 is about 740.5232724553.

The spelling of 406084240 in words is "four hundred six million, eighty-four thousand, two hundred forty".