415217664 has 120 divisors (see below), whose sum is σ = 1240719480. Its totient is φ = 138350592.

The previous prime is 415217657. The next prime is 415217669. The reversal of 415217664 is 466712514.

415217664 is a `hidden beast` number, since 4 + 1 + 521 + 76 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415217669) 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 9 ways as a sum of consecutive naturals, for example, 164637 + ... + 167139.

It is an arithmetic number, because the mean of its divisors is an integer number (10339329).

Almost surely, 2^415217664 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 415217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620359740).

415217664 is an abundant number, since it is smaller than the sum of its proper divisors (825501816).

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

415217664 is an equidigital number, since it uses as much as digits as its factorization.

415217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2508 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 415217664 is about 20376.8904399077. The cubic root of 415217664 is about 746.0339765113.

The spelling of 415217664 in words is "four hundred fifteen million, two hundred seventeen thousand, six hundred sixty-four".