418479966 has 48 divisors (see below), whose sum is σ = 942565680. Its totient is φ = 137613600.

The previous prime is 418479961. The next prime is 418479977. The reversal of 418479966 is 669974814.

It is a super-2 number, since 2×418479966² = 350250963886722312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418479961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1510620 + ... + 1510896.

It is an arithmetic number, because the mean of its divisors is an integer number (19636785).

Almost surely, 2^418479966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418479966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471282840).

418479966 is an abundant number, since it is smaller than the sum of its proper divisors (524085714).

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

418479966 is a wasteful number, since it uses less digits than its factorization.

418479966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 383 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 418479966 is about 20456.7828849015. The cubic root of 418479966 is about 747.9827069029.

The spelling of 418479966 in words is "four hundred eighteen million, four hundred seventy-nine thousand, nine hundred sixty-six".