416406540 has 48 divisors (see below), whose sum is σ = 1271934720. Its totient is φ = 100946880.

The previous prime is 416406533. The next prime is 416406569. The reversal of 416406540 is 45604614.

416406540 = T₉₆₁₅ + T₉₆₁₆ + ... + T₉₆₂₃.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 416406498 and 416406507.

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, 314800 + ... + 316119.

It is an arithmetic number, because the mean of its divisors is an integer number (26498640).

Almost surely, 2^416406540 is an apocalyptic number.

It is an amenable number.

416406540 is an abundant number, since it is smaller than the sum of its proper divisors (855528180).

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

416406540 is a wasteful number, since it uses less digits than its factorization.

416406540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630942 (or 630940 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 416406540 is about 20406.0417523830. The cubic root of 416406540 is about 746.7453276857.

The spelling of 416406540 in words is "four hundred sixteen million, four hundred six thousand, five hundred forty".