415671312 has 120 divisors (see below), whose sum is σ = 1289655552. Its totient is φ = 114912000.

The previous prime is 415671293. The next prime is 415671313. The reversal of 415671312 is 213176514.

It is a self number, because there is not a number n which added to its sum of digits gives 415671312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415671313) 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, 70062 + ... + 75762.

Almost surely, 2^415671312 is an apocalyptic number.

415671312 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 415671312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644827776).

415671312 is an abundant number, since it is smaller than the sum of its proper divisors (873984240).

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

415671312 is a wasteful number, since it uses less digits than its factorization.

415671312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757 (or 5744 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 415671312 is about 20388.0188345999. The cubic root of 415671312 is about 746.3055719273.

The spelling of 415671312 in words is "four hundred fifteen million, six hundred seventy-one thousand, three hundred twelve".