416871120 has 40 divisors (see below), whose sum is σ = 1292301216. Its totient is φ = 111165568.

The previous prime is 416871097. The next prime is 416871139. The reversal of 416871120 is 21178614.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×416871120³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 868242 + ... + 868721.

Almost surely, 2^416871120 is an apocalyptic number.

416871120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416871120 is an abundant number, since it is smaller than the sum of its proper divisors (875430096).

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

416871120 is a wasteful number, since it uses less digits than its factorization.

416871120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736979 (or 1736973 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 416871120 is about 20417.4219724235. The cubic root of 416871120 is about 747.0229362018.

The spelling of 416871120 in words is "four hundred sixteen million, eight hundred seventy-one thousand, one hundred twenty".