415028160 has 168 divisors, whose sum is σ = 1454993280. Its totient is φ = 108546048.

The previous prime is 415028143. The next prime is 415028171. The reversal of 415028160 is 61820514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151281 + ... + 153999.

Almost surely, 2^415028160 is an apocalyptic number.

415028160 is a gapful number since it is divisible by the number (40) 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 415028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727496640).

415028160 is an abundant number, since it is smaller than the sum of its proper divisors (1039965120).

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

415028160 is a wasteful number, since it uses less digits than its factorization.

415028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 415028160 is about 20372.2399357557. The cubic root of 415028160 is about 745.9204634085.

Adding to 415028160 its reverse (61820514), we get a palindrome (476848674).

The spelling of 415028160 in words is "four hundred fifteen million, twenty-eight thousand, one hundred sixty".