415093152 has 96 divisors (see below), whose sum is σ = 1160308800. Its totient is φ = 129558528.

The previous prime is 415093141. The next prime is 415093169. The reversal of 415093152 is 251390514.

It is a tau number, because it is divible by the number of its divisors (96).

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, 161058 + ... + 163614.

It is an arithmetic number, because the mean of its divisors is an integer number (12086550).

Almost surely, 2^415093152 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 415093152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580154400).

415093152 is an abundant number, since it is smaller than the sum of its proper divisors (745215648).

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

415093152 is a wasteful number, since it uses less digits than its factorization.

415093152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 415093152 is about 20373.8349850979. The cubic root of 415093152 is about 745.9593975798.

The spelling of 415093152 in words is "four hundred fifteen million, ninety-three thousand, one hundred fifty-two".