416034016 has 24 divisors (see below), whose sum is σ = 832953240. Its totient is φ = 204490368.

The previous prime is 416034007. The next prime is 416034019. The reversal of 416034016 is 610430614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416034019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108291 + ... + 112066.

It is an arithmetic number, because the mean of its divisors is an integer number (34706385).

Almost surely, 2^416034016 is an apocalyptic number.

It is an amenable number.

416034016 is an abundant number, since it is smaller than the sum of its proper divisors (416919224).

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

416034016 is a wasteful number, since it uses less digits than its factorization.

416034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220426 (or 220418 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 416034016 is about 20396.9119231319. The cubic root of 416034016 is about 746.5225777800.

The spelling of 416034016 in words is "four hundred sixteen million, thirty-four thousand, sixteen".