416127258 has 48 divisors (see below), whose sum is σ = 957640320. Its totient is φ = 130140288.

The previous prime is 416127251. The next prime is 416127259. The reversal of 416127258 is 852721614.

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 (416127251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104223 + ... + 108141.

It is an arithmetic number, because the mean of its divisors is an integer number (19950840).

Almost surely, 2^416127258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416127258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478820160).

416127258 is an abundant number, since it is smaller than the sum of its proper divisors (541513062).

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

416127258 is a wasteful number, since it uses less digits than its factorization.

416127258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4288 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 416127258 is about 20399.1974842149. The cubic root of 416127258 is about 746.5783441004.

The spelling of 416127258 in words is "four hundred sixteen million, one hundred twenty-seven thousand, two hundred fifty-eight".