416005140 has 96 divisors (see below), whose sum is σ = 1219921920. Its totient is φ = 105722496.

The previous prime is 416005127. The next prime is 416005157. The reversal of 416005140 is 41500614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671751 + ... + 672369.

It is an arithmetic number, because the mean of its divisors is an integer number (12707520).

Almost surely, 2^416005140 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 416005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609960960).

416005140 is an abundant number, since it is smaller than the sum of its proper divisors (803916780).

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

416005140 is a wasteful number, since it uses less digits than its factorization.

416005140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 416005140 is about 20396.2040585987. The cubic root of 416005140 is about 746.5053058872.

Adding to 416005140 its reverse (41500614), we get a palindrome (457505754).

The spelling of 416005140 in words is "four hundred sixteen million, five thousand, one hundred forty".