416078404 has 81 divisors (see below), whose sum is σ = 894239199. Its totient is φ = 168895440.

The previous prime is 416078393. The next prime is 416078423. The reversal of 416078404 is 404870614.

The square root of 416078404 is 20398.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 416078404.

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 26 ways as a sum of consecutive naturals, for example, 8852709 + ... + 8852755.

Almost surely, 2^416078404 is an apocalyptic number.

416078404 is the 20398-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416078404

416078404 is an abundant number, since it is smaller than the sum of its proper divisors (478160795).

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

416078404 is a wasteful number, since it uses less digits than its factorization.

416078404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The cubic root of 416078404 is about 746.5491264631.

The spelling of 416078404 in words is "four hundred sixteen million, seventy-eight thousand, four hundred four".