418020540 has 192 divisors, whose sum is σ = 1384750080. Its totient is φ = 92252160.

The previous prime is 418020527. The next prime is 418020553. The reversal of 418020540 is 45020814.

It is an interprime number because it is at equal distance from previous prime (418020527) and next prime (418020553).

It is a self number, because there is not a number n which added to its sum of digits gives 418020540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1981035 + ... + 1981245.

It is an arithmetic number, because the mean of its divisors is an integer number (7212240).

Almost surely, 2^418020540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418020540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692375040).

418020540 is an abundant number, since it is smaller than the sum of its proper divisors (966729540).

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

418020540 is a wasteful number, since it uses less digits than its factorization.

418020540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 418020540 is about 20445.5506162099. The cubic root of 418020540 is about 747.7088837307.

The spelling of 418020540 in words is "four hundred eighteen million, twenty thousand, five hundred forty".