406441040 has 40 divisors (see below), whose sum is σ = 956376288. Its totient is φ = 160615040.

The previous prime is 406441039. The next prime is 406441043. The reversal of 406441040 is 40144604.

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

It is a junction number, because it is equal to n+sod(n) for n = 406440997 and 406441015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406441043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23966 + ... + 37245.

Almost surely, 2^406441040 is an apocalyptic number.

406441040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406441040 is an abundant number, since it is smaller than the sum of its proper divisors (549935248).

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

406441040 is a wasteful number, since it uses less digits than its factorization.

406441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61307 (or 61301 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 406441040 is about 20160.3829328711. The cubic root of 406441040 is about 740.7400922933.

Adding to 406441040 its reverse (40144604), we get a palindrome (446585644).

The spelling of 406441040 in words is "four hundred six million, four hundred forty-one thousand, forty".