415127712 has 96 divisors (see below), whose sum is σ = 1114731072. Its totient is φ = 135235584.

The previous prime is 415127707. The next prime is 415127723. The reversal of 415127712 is 217721514.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 415127712.

It is an unprimeable number.

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, 1498518 + ... + 1498794.

It is an arithmetic number, because the mean of its divisors is an integer number (11611782).

Almost surely, 2^415127712 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 415127712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557365536).

415127712 is an abundant number, since it is smaller than the sum of its proper divisors (699603360).

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

415127712 is a wasteful number, since it uses less digits than its factorization.

415127712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its digits is 3920, while the sum is 30.

The square root of 415127712 is about 20374.6831141002. The cubic root of 415127712 is about 745.9800994722.

The spelling of 415127712 in words is "four hundred fifteen million, one hundred twenty-seven thousand, seven hundred twelve".