416842416 has 40 divisors (see below), whose sum is σ = 1196493360. Its totient is φ = 138947328.

The previous prime is 416842381. The next prime is 416842427. The reversal of 416842416 is 614248614.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 482025 + ... + 482888.

It is an arithmetic number, because the mean of its divisors is an integer number (29912334).

Almost surely, 2^416842416 is an apocalyptic number.

It is an amenable number.

416842416 is an abundant number, since it is smaller than the sum of its proper divisors (779650944).

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

416842416 is a wasteful number, since it uses less digits than its factorization.

416842416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964930 (or 964918 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 416842416 is about 20416.7190312254. The cubic root of 416842416 is about 747.0057901843.

It can be divided in two parts, 41684 and 2416, that added together give a square (44100 = 210²).

The spelling of 416842416 in words is "four hundred sixteen million, eight hundred forty-two thousand, four hundred sixteen".