415601552 has 40 divisors (see below), whose sum is σ = 834916800. Its totient is φ = 200172672.

The previous prime is 415601551. The next prime is 415601591. The reversal of 415601552 is 255106514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (415601551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286493 + ... + 287939.

It is an arithmetic number, because the mean of its divisors is an integer number (20872920).

Almost surely, 2^415601552 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 415601552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417458400).

415601552 is an abundant number, since it is smaller than the sum of its proper divisors (419315248).

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

415601552 is a wasteful number, since it uses less digits than its factorization.

415601552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 415601552 is about 20386.3079541147. The cubic root of 415601552 is about 746.2638200367.

The spelling of 415601552 in words is "four hundred fifteen million, six hundred one thousand, five hundred fifty-two".