415215072 has 192 divisors, whose sum is σ = 1301832000. Its totient is φ = 129890304.

The previous prime is 415215071. The next prime is 415215083. The reversal of 415215072 is 270512514.

415215072 is a `hidden beast` number, since 4 + 152 + 1 + 507 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415215071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1189554 + ... + 1189902.

It is an arithmetic number, because the mean of its divisors is an integer number (6780375).

Almost surely, 2^415215072 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 415215072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650916000).

415215072 is an abundant number, since it is smaller than the sum of its proper divisors (886616928).

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

415215072 is an equidigital number, since it uses as much as digits as its factorization.

415215072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 415215072 is about 20376.8268383475. The cubic root of 415215072 is about 746.0324241334.

Adding to 415215072 its reverse (270512514), we get a palindrome (685727586).

The spelling of 415215072 in words is "four hundred fifteen million, two hundred fifteen thousand, seventy-two".