416105256 has 192 divisors, whose sum is σ = 1269449280. Its totient is φ = 113218560.

The previous prime is 416105251. The next prime is 416105267. The reversal of 416105256 is 652501614.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (416105251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3176311 + ... + 3176441.

It is an arithmetic number, because the mean of its divisors is an integer number (6611715).

Almost surely, 2^416105256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416105256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634724640).

416105256 is an abundant number, since it is smaller than the sum of its proper divisors (853344024).

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

416105256 is a wasteful number, since it uses less digits than its factorization.

416105256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 416105256 is about 20398.6581911654. The cubic root of 416105256 is about 746.5651858610.

The spelling of 416105256 in words is "four hundred sixteen million, one hundred five thousand, two hundred fifty-six".