415235328 has 144 divisors (see below), whose sum is σ = 1158506496. Its totient is φ = 131880960.

The previous prime is 415235299. The next prime is 415235371. The reversal of 415235328 is 823532514.

Its product of digits (28800) is a multiple of the sum of its prime factors (320).

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, 2547375 + ... + 2547537.

It is an arithmetic number, because the mean of its divisors is an integer number (8045184).

Almost surely, 2^415235328 is an apocalyptic number.

415235328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415235328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579253248).

415235328 is an abundant number, since it is smaller than the sum of its proper divisors (743271168).

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

415235328 is a wasteful number, since it uses less digits than its factorization.

415235328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 415235328 is about 20377.3238674758. The cubic root of 415235328 is about 746.0445555067.

The spelling of 415235328 in words is "four hundred fifteen million, two hundred thirty-five thousand, three hundred twenty-eight".