412971615 has 160 divisors (see below), whose sum is σ = 904003584. Its totient is φ = 176359680.

The previous prime is 412971607. The next prime is 412971649. The reversal of 412971615 is 516179214.

It is not a de Polignac number, because 412971615 - 2³ = 412971607 is a prime.

Its product of digits (15120) is a multiple of the sum of its prime divisors (210).

It is a self number, because there is not a number n which added to its sum of digits gives 412971615.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 3251682 + ... + 3251808.

Almost surely, 2^412971615 is an apocalyptic number.

412971615 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

412971615 is an abundant number, since it is smaller than the sum of its proper divisors (491031969).

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

412971615 is a wasteful number, since it uses less digits than its factorization.

412971615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 412971615 is about 20321.7030536321. The cubic root of 412971615 is about 744.6863625827.

The spelling of 412971615 in words is "four hundred twelve million, nine hundred seventy-one thousand, six hundred fifteen".