416163840 has 384 divisors, whose sum is σ = 1509580800. Its totient is φ = 97320960.

The previous prime is 416163799. The next prime is 416163841. The reversal of 416163840 is 48361614.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×416163840³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (416163841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13424625 + ... + 13424655.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^416163840 is an apocalyptic number.

416163840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400).

416163840 is an abundant number, since it is smaller than the sum of its proper divisors (1093416960).

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

416163840 is a wasteful number, since it uses less digits than its factorization.

416163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 416163840 is about 20400.0941174299. The cubic root of 416163840 is about 746.6002208445.

The spelling of 416163840 in words is "four hundred sixteen million, one hundred sixty-three thousand, eight hundred forty".