415221768 has 128 divisors (see below), whose sum is σ = 1285200000. Its totient is φ = 123330816.

The previous prime is 415221767. The next prime is 415221791. The reversal of 415221768 is 867122514.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (415221761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 78883 + ... + 83981.

It is an arithmetic number, because the mean of its divisors is an integer number (10040625).

Almost surely, 2^415221768 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 415221768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642600000).

415221768 is an abundant number, since it is smaller than the sum of its proper divisors (869978232).

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

415221768 is a wasteful number, since it uses less digits than its factorization.

415221768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156 (or 5146 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 415221768 is about 20376.9911419719. The cubic root of 415221768 is about 746.0364344296.

The spelling of 415221768 in words is "four hundred fifteen million, two hundred twenty-one thousand, seven hundred sixty-eight".