415605468 has 96 divisors (see below), whose sum is σ = 1064304640. Its totient is φ = 125737920.

The previous prime is 415605461. The next prime is 415605473. The reversal of 415605468 is 864506514.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415605461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897405 + ... + 897867.

Almost surely, 2^415605468 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 415605468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532152320).

415605468 is an abundant number, since it is smaller than the sum of its proper divisors (648699172).

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

415605468 is a wasteful number, since it uses less digits than its factorization.

415605468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 415605468 is about 20386.4039987439. The cubic root of 415605468 is about 746.2661639162.

The spelling of 415605468 in words is "four hundred fifteen million, six hundred five thousand, four hundred sixty-eight".