415112320 has 256 divisors, whose sum is σ = 1214208000. Its totient is φ = 135475200.

The previous prime is 415112279. The next prime is 415112339. The reversal of 415112320 is 23211514.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6805090 + ... + 6805150.

It is an arithmetic number, because the mean of its divisors is an integer number (4743000).

Almost surely, 2^415112320 is an apocalyptic number.

415112320 is a gapful number since it is divisible by the number (40) 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 415112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607104000).

415112320 is an abundant number, since it is smaller than the sum of its proper divisors (799095680).

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

415112320 is an equidigital number, since it uses as much as digits as its factorization.

415112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 415112320 is about 20374.3053869328. The cubic root of 415112320 is about 745.9708796047.

Adding to 415112320 its reverse (23211514), we get a palindrome (438323834).

It can be divided in two parts, 4151 and 12320, that added together give a triangular number (16471 = T₁₈₁).

The spelling of 415112320 in words is "four hundred fifteen million, one hundred twelve thousand, three hundred twenty".