406353040 has 80 divisors (see below), whose sum is σ = 1014296688. Its totient is φ = 150847488.

The previous prime is 406353037. The next prime is 406353041. The reversal of 406353040 is 40353604.

It can be written as a sum of positive squares in 8 ways, for example, as 1860496 + 404492544 = 1364^2 + 20112^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 406352996 and 406353014.

It is not an unprimeable number, because it can be changed into a prime (406353041) 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 15 ways as a sum of consecutive naturals, for example, 97234 + ... + 101326.

Almost surely, 2^406353040 is an apocalyptic number.

406353040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507148344).

406353040 is an abundant number, since it is smaller than the sum of its proper divisors (607943648).

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

406353040 is a wasteful number, since it uses less digits than its factorization.

406353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 406353040 is about 20158.2003164965. The cubic root of 406353040 is about 740.6866283409.

The spelling of 406353040 in words is "four hundred six million, three hundred fifty-three thousand, forty".