418125312 has 240 divisors, whose sum is σ = 1346284368. Its totient is φ = 123863040.

The previous prime is 418125311. The next prime is 418125317. The reversal of 418125312 is 213521814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418125311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3700168 + ... + 3700280.

Almost surely, 2^418125312 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 418125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673142184).

418125312 is an abundant number, since it is smaller than the sum of its proper divisors (928159056).

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

418125312 is a wasteful number, since it uses less digits than its factorization.

418125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 418125312 is about 20448.1126757459. The cubic root of 418125312 is about 747.7713466990.

The spelling of 418125312 in words is "four hundred eighteen million, one hundred twenty-five thousand, three hundred twelve".