418745712 has 320 divisors, whose sum is σ = 1457049600. Its totient is φ = 100362240.

The previous prime is 418745711. The next prime is 418745713. The reversal of 418745712 is 217547814.

It is an interprime number because it is at equal distance from previous prime (418745711) and next prime (418745713).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418745711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4704964 + ... + 4705052.

It is an arithmetic number, because the mean of its divisors is an integer number (4553280).

Almost surely, 2^418745712 is an apocalyptic number.

418745712 is a gapful number since it is divisible by the number (42) 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 418745712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728524800).

418745712 is an abundant number, since it is smaller than the sum of its proper divisors (1038303888).

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

418745712 is a wasteful number, since it uses less digits than its factorization.

418745712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 418745712 is about 20463.2771568974. The cubic root of 418745712 is about 748.1410030922.

It can be divided in two parts, 41874 and 5712, that added together give a triangular number (47586 = T₃₀₈).

The spelling of 418745712 in words is "four hundred eighteen million, seven hundred forty-five thousand, seven hundred twelve".