416034057 has 8 divisors (see below), whose sum is σ = 555319360. Its totient is φ = 277052400.

The previous prime is 416034041. The next prime is 416034071. The reversal of 416034057 is 750430614.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 416034057 - 2⁴ = 416034041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416034007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72694 + ... + 78207.

It is an arithmetic number, because the mean of its divisors is an integer number (69414920).

Almost surely, 2^416034057 is an apocalyptic number.

It is an amenable number.

416034057 is a deficient number, since it is larger than the sum of its proper divisors (139285303).

416034057 is a wasteful number, since it uses less digits than its factorization.

416034057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151823.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 416034057 is about 20396.9129281860. The cubic root of 416034057 is about 746.5226023031.

The spelling of 416034057 in words is "four hundred sixteen million, thirty-four thousand, fifty-seven".