405541040 has 40 divisors (see below), whose sum is σ = 951553680. Its totient is φ = 160724736.

The previous prime is 405541033. The next prime is 405541091. The reversal of 405541040 is 40145504.

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 = 405540997 and 405541015.

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, 14534 + ... + 31973.

It is an arithmetic number, because the mean of its divisors is an integer number (23788842).

Almost surely, 2^405541040 is an apocalyptic number.

405541040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405541040 is an abundant number, since it is smaller than the sum of its proper divisors (546012640).

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

405541040 is a wasteful number, since it uses less digits than its factorization.

405541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46629 (or 46623 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 405541040 is about 20138.0495579885. The cubic root of 405541040 is about 740.1929372740.

Adding to 405541040 its reverse (40145504), we get a palindrome (445686544).

The spelling of 405541040 in words is "four hundred five million, five hundred forty-one thousand, forty".