406015641 has 12 divisors (see below), whose sum is σ = 620965332. Its totient is φ = 254754816.

The previous prime is 406015637. The next prime is 406015663. The reversal of 406015641 is 146510604.

406015641 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 15 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 167961600 + 238054041 = 12960^2 + 15429^2 .

It is not a de Polignac number, because 406015641 - 2² = 406015637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406015691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1326696 + ... + 1327001.

It is an arithmetic number, because the mean of its divisors is an integer number (51747111).

Almost surely, 2^406015641 is an apocalyptic number.

It is an amenable number.

406015641 is a deficient number, since it is larger than the sum of its proper divisors (214949691).

406015641 is a wasteful number, since it uses less digits than its factorization.

406015641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653720 (or 2653717 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 406015641 is about 20149.8298007700. The cubic root of 406015641 is about 740.4815717343.

It can be divided in two parts, 4060 and 15641, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 406015641 in words is "four hundred six million, fifteen thousand, six hundred forty-one".