415011663 has 48 divisors (see below), whose sum is σ = 698480640. Its totient is φ = 234964800.

The previous prime is 415011659. The next prime is 415011671. The reversal of 415011663 is 366110514.

It is not a de Polignac number, because 415011663 - 2² = 415011659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415011673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86670 + ... + 91332.

It is an arithmetic number, because the mean of its divisors is an integer number (14551680).

Almost surely, 2^415011663 is an apocalyptic number.

415011663 is a deficient number, since it is larger than the sum of its proper divisors (283468977).

415011663 is a wasteful number, since it uses less digits than its factorization.

415011663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 415011663 is about 20371.8350425287. The cubic root of 415011663 is about 745.9105800527.

The spelling of 415011663 in words is "four hundred fifteen million, eleven thousand, six hundred sixty-three".