418098240 has 448 divisors, whose sum is σ = 1747845120. Its totient is φ = 92067840.

The previous prime is 418098223. The next prime is 418098251. The reversal of 418098240 is 42890814.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×418098240² = 349612276582195200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 418098195 and 418098204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1874769 + ... + 1874991.

It is an arithmetic number, because the mean of its divisors is an integer number (3901440).

Almost surely, 2^418098240 is an apocalyptic number.

418098240 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 418098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873922560).

418098240 is an abundant number, since it is smaller than the sum of its proper divisors (1329746880).

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

418098240 is a wasteful number, since it uses less digits than its factorization.

418098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 418098240 is about 20447.4506968473. The cubic root of 418098240 is about 747.7552079146.

The spelling of 418098240 in words is "four hundred eighteen million, ninety-eight thousand, two hundred forty".