416878080 has 320 divisors, whose sum is σ = 1470763008. Its totient is φ = 100270080.

The previous prime is 416878051. The next prime is 416878081. The reversal of 416878080 is 80878614.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416878081) 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, 4047309 + ... + 4047411.

Almost surely, 2^416878080 is an apocalyptic number.

416878080 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 416878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735381504).

416878080 is an abundant number, since it is smaller than the sum of its proper divisors (1053884928).

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

416878080 is a wasteful number, since it uses less digits than its factorization.

416878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 416878080 is about 20417.5924143862. The cubic root of 416878080 is about 747.0270935624.

The spelling of 416878080 in words is "four hundred sixteen million, eight hundred seventy-eight thousand, eighty".