415326528 has 140 divisors (see below), whose sum is σ = 1243804980. Its totient is φ = 137023488.

The previous prime is 415326523. The next prime is 415326559. The reversal of 415326528 is 825623514.

415326528 is a `hidden beast` number, since 41 + 532 + 65 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26132544 + 389193984 = 5112^2 + 19728^2 .

It is a super-2 number, since 2×415326528² = 344992249721069568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 415326492 and 415326501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415326523) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 585438 + ... + 586146.

Almost surely, 2^415326528 is an apocalyptic number.

415326528 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 415326528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621902490).

415326528 is an abundant number, since it is smaller than the sum of its proper divisors (828478452).

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

415326528 is a wasteful number, since it uses less digits than its factorization.

415326528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 827 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 415326528 is about 20379.5615261958. The cubic root of 415326528 is about 746.0991705472.

The spelling of 415326528 in words is "four hundred fifteen million, three hundred twenty-six thousand, five hundred twenty-eight".