415503561 has 32 divisors (see below), whose sum is σ = 632862720. Its totient is φ = 240161600.

The previous prime is 415503559. The next prime is 415503563. The reversal of 415503561 is 165305514.

It is an interprime number because it is at equal distance from previous prime (415503559) and next prime (415503563).

It is a cyclic number.

It is not a de Polignac number, because 415503561 - 2¹ = 415503559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (415503563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76816 + ... + 82046.

It is an arithmetic number, because the mean of its divisors is an integer number (19776960).

Almost surely, 2^415503561 is an apocalyptic number.

It is an amenable number.

415503561 is a deficient number, since it is larger than the sum of its proper divisors (217359159).

415503561 is a wasteful number, since it uses less digits than its factorization.

415503561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 415503561 is about 20383.9044591560. The cubic root of 415503561 is about 746.2051637863.

The spelling of 415503561 in words is "four hundred fifteen million, five hundred three thousand, five hundred sixty-one".