418097416 has 64 divisors (see below), whose sum is σ = 882264960. Its totient is φ = 184128000.

The previous prime is 418097399. The next prime is 418097417. The reversal of 418097416 is 614790814.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 4180 and 97416 contains 418097416 itself.

It is not an unprimeable number, because it can be changed into a prime (418097417) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 380580 + ... + 381676.

It is an arithmetic number, because the mean of its divisors is an integer number (13785390).

Almost surely, 2^418097416 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 418097416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441132480).

418097416 is an abundant number, since it is smaller than the sum of its proper divisors (464167544).

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

418097416 is a wasteful number, since it uses less digits than its factorization.

418097416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 418097416 is about 20447.4305476263. The cubic root of 418097416 is about 747.7547166818.

The spelling of 418097416 in words is "four hundred eighteen million, ninety-seven thousand, four hundred sixteen".