416336540 has 48 divisors (see below), whose sum is σ = 884013312. Its totient is φ = 164699136.

The previous prime is 416336539. The next prime is 416336563. The reversal of 416336540 is 45633614.

It is a super-2 number, since 2×416336540² = 346672229078343200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 416336497 and 416336506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1235252 + ... + 1235588.

It is an arithmetic number, because the mean of its divisors is an integer number (18416944).

Almost surely, 2^416336540 is an apocalyptic number.

It is an amenable number.

416336540 is an abundant number, since it is smaller than the sum of its proper divisors (467676772).

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

416336540 is a wasteful number, since it uses less digits than its factorization.

416336540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 416336540 is about 20404.3265019946. The cubic root of 416336540 is about 746.7034814792.

The spelling of 416336540 in words is "four hundred sixteen million, three hundred thirty-six thousand, five hundred forty".