415346064 has 80 divisors (see below), whose sum is σ = 1229349888. Its totient is φ = 118371456.

The previous prime is 415346059. The next prime is 415346081. The reversal of 415346064 is 460643514.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155589 + ... + 158235.

Almost surely, 2^415346064 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 415346064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614674944).

415346064 is an abundant number, since it is smaller than the sum of its proper divisors (814003824).

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

415346064 is a wasteful number, since it uses less digits than its factorization.

415346064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 415346064 is about 20380.0408242967. The cubic root of 415346064 is about 746.1108686240.

Adding to 415346064 its reverse (460643514), we get a palindrome (875989578).

The spelling of 415346064 in words is "four hundred fifteen million, three hundred forty-six thousand, sixty-four".