416401540 has 12 divisors (see below), whose sum is σ = 874443276. Its totient is φ = 166560608.

The previous prime is 416401507. The next prime is 416401543. The reversal of 416401540 is 45104614.

It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 310393924 = 10296^2 + 17618^2 .

It is not an unprimeable number, because it can be changed into a prime (416401543) 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, 10410019 + ... + 10410058.

It is an arithmetic number, because the mean of its divisors is an integer number (72870273).

Almost surely, 2^416401540 is an apocalyptic number.

It is an amenable number.

416401540 is an abundant number, since it is smaller than the sum of its proper divisors (458041736).

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

416401540 is a wasteful number, since it uses less digits than its factorization.

416401540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20820086 (or 20820084 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 416401540 is about 20405.9192392796. The cubic root of 416401540 is about 746.7423388265.

It can be divided in two parts, 416 and 401540, that added together give a square (401956 = 634²).

The spelling of 416401540 in words is "four hundred sixteen million, four hundred one thousand, five hundred forty".