418366116 has 81 divisors (see below), whose sum is σ = 1232726859. Its totient is φ = 119287728.

The previous prime is 418366103. The next prime is 418366163. The reversal of 418366116 is 611663814.

The square root of 418366116 is 20454.

It is a perfect power (a square), and thus also a powerful number.

418366116 is a `hidden beast` number, since 4 + 1 + 8 + 36 + 611 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 858825 + ... + 859311.

Almost surely, 2^418366116 is an apocalyptic number.

418366116 is the 20454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418366116

418366116 is an abundant number, since it is smaller than the sum of its proper divisors (814360743).

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

418366116 is a wasteful number, since it uses less digits than its factorization.

418366116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The cubic root of 418366116 is about 747.9148696810.

Multiplying 418366116 by its sum of digits (36), we get a square (15061180176 = 122724²).

418366116 divided by its sum of digits (36) gives a square (11621281 = 3409²).

Multiplying 418366116 by its product of digits (20736), we get a square (8675239781376 = 2945376²).

The spelling of 418366116 in words is "four hundred eighteen million, three hundred sixty-six thousand, one hundred sixteen".