418114080 has 144 divisors (see below), whose sum is σ = 1441177920. Its totient is φ = 110375424.

The previous prime is 418114051. The next prime is 418114091. The reversal of 418114080 is 80411814.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×418114080³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146911 + ... + 149729.

It is an arithmetic number, because the mean of its divisors is an integer number (10008180).

Almost surely, 2^418114080 is an apocalyptic number.

418114080 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 418114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720588960).

418114080 is an abundant number, since it is smaller than the sum of its proper divisors (1023063840).

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

418114080 is a wasteful number, since it uses less digits than its factorization.

418114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 418114080 is about 20447.8380275275. The cubic root of 418114080 is about 747.7646509049.

Adding to 418114080 its reverse (80411814), we get a palindrome (498525894).

The spelling of 418114080 in words is "four hundred eighteen million, one hundred fourteen thousand, eighty".