418080 has 96 divisors (see below), whose sum is σ = 1439424. Its totient is φ = 101376.

The previous prime is 418079. The next prime is 418087. The reversal of 418080 is 80814.

418080 = T₁₉ + T₂₀ + ... + T₁₃₅.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6207 + ... + 6273.

It is an arithmetic number, because the mean of its divisors is an integer number (14994).

2⁴¹⁸⁰⁸⁰ is an apocalyptic number.

418080 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 418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719712).

418080 is an abundant number, since it is smaller than the sum of its proper divisors (1021344).

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

418080 is a wasteful number, since it uses less digits than its factorization.

418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 418080 is about 646.5910608723. The cubic root of 418080 is about 74.7744333873.

Adding to 418080 its reverse (80814), we get a palindrome (498894).

The spelling of 418080 in words is "four hundred eighteen thousand, eighty".