415133152 has 96 divisors (see below), whose sum is σ = 972324864. Its totient is φ = 170726400.

The previous prime is 415133123. The next prime is 415133161. The reversal of 415133152 is 251331514.

It is a happy number.

It is a congruent number.

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, 1326148 + ... + 1326460.

It is an arithmetic number, because the mean of its divisors is an integer number (10128384).

Almost surely, 2^415133152 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 415133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486162432).

415133152 is an abundant number, since it is smaller than the sum of its proper divisors (557191712).

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

415133152 is a wasteful number, since it uses less digits than its factorization.

415133152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 415133152 is about 20374.8166126716. The cubic root of 415133152 is about 745.9833579988.

Adding to 415133152 its reverse (251331514), we get a palindrome (666464666).

The spelling of 415133152 in words is "four hundred fifteen million, one hundred thirty-three thousand, one hundred fifty-two".