416842080 has 192 divisors, whose sum is σ = 1371686400. Its totient is φ = 106311680.

The previous prime is 416842079. The next prime is 416842099. The reversal of 416842080 is 80248614.

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, 1160941 + ... + 1161299.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2^416842080 is an apocalyptic number.

416842080 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 416842080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685843200).

416842080 is an abundant number, since it is smaller than the sum of its proper divisors (954844320).

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

416842080 is a wasteful number, since it uses less digits than its factorization.

416842080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 416842080 is about 20416.7108026734. The cubic root of 416842080 is about 747.0055894738.

The spelling of 416842080 in words is "four hundred sixteen million, eight hundred forty-two thousand, eighty".