416034020 has 12 divisors (see below), whose sum is σ = 873671484. Its totient is φ = 166413600.

The previous prime is 416034019. The next prime is 416034037. The reversal of 416034020 is 20430614.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 267584164 + 148449856 = 16358^2 + 12184^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 20801701 = 416034020 / (4 + 1 + 6 + 0 + 3 + 4 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 416033983 and 416034001.

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 3 ways as a sum of consecutive naturals, for example, 10400831 + ... + 10400870.

It is an arithmetic number, because the mean of its divisors is an integer number (72805957).

Almost surely, 2^416034020 is an apocalyptic number.

It is an amenable number.

416034020 is an abundant number, since it is smaller than the sum of its proper divisors (457637464).

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

416034020 is a wasteful number, since it uses less digits than its factorization.

416034020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20801710 (or 20801708 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 416034020 is about 20396.9120211860. The cubic root of 416034020 is about 746.5225801725.

Adding to 416034020 its reverse (20430614), we get a palindrome (436464634).

The spelling of 416034020 in words is "four hundred sixteen million, thirty-four thousand, twenty".