417966080 has 240 divisors, whose sum is σ = 1238770260. Its totient is φ = 134873088.

The previous prime is 417966079. The next prime is 417966091. The reversal of 417966080 is 80669714.

It can be written as a sum of positive squares in 2 ways, for example, as 415507456 + 2458624 = 20384^2 + 1568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24586232 + ... + 24586248.

Almost surely, 2^417966080 is an apocalyptic number.

417966080 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 417966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619385130).

417966080 is an abundant number, since it is smaller than the sum of its proper divisors (820804180).

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

417966080 is an frugal number, since it uses more digits than its factorization.

417966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 417966080 is about 20444.2187427155. The cubic root of 417966080 is about 747.6764116467.

The spelling of 417966080 in words is "four hundred seventeen million, nine hundred sixty-six thousand, eighty".