415145676 has 144 divisors (see below), whose sum is σ = 1149732864. Its totient is φ = 116160000.

The previous prime is 415145669. The next prime is 415145743. The reversal of 415145676 is 676541514.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1035076 + ... + 1035476.

It is an arithmetic number, because the mean of its divisors is an integer number (7984256).

Almost surely, 2^415145676 is an apocalyptic number.

415145676 is a gapful number since it is divisible by the number (46) 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 415145676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574866432).

415145676 is an abundant number, since it is smaller than the sum of its proper divisors (734587188).

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

415145676 is a wasteful number, since it uses less digits than its factorization.

415145676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 471 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 415145676 is about 20375.1239505432. The cubic root of 415145676 is about 745.9908596896.

The spelling of 415145676 in words is "four hundred fifteen million, one hundred forty-five thousand, six hundred seventy-six".