417484080 has 360 divisors, whose sum is σ = 1571738688. Its totient is φ = 99201024.

The previous prime is 417484069. The next prime is 417484097. The reversal of 417484080 is 80484714.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5718924 + ... + 5718996.

Almost surely, 2^417484080 is an apocalyptic number.

417484080 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 417484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785869344).

417484080 is an abundant number, since it is smaller than the sum of its proper divisors (1154254608).

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

417484080 is a wasteful number, since it uses less digits than its factorization.

417484080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 417484080 is about 20432.4271685965. The cubic root of 417484080 is about 747.3888933791.

The spelling of 417484080 in words is "four hundred seventeen million, four hundred eighty-four thousand, eighty".