415520 has 72 divisors (see below), whose sum is σ = 1163484. Its totient is φ = 139776.

The previous prime is 415517. The next prime is 415523. The reversal of 415520 is 25514.

It is an interprime number because it is at equal distance from previous prime (415517) and next prime (415523).

It can be written as a sum of positive squares in 2 ways, for example, as 414736 + 784 = 644^2 + 28^2 .

It is not an unprimeable number, because it can be changed into a prime (415523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7814 + ... + 7866.

2⁴¹⁵⁵²⁰ is an apocalyptic number.

415520 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 415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581742).

415520 is an abundant number, since it is smaller than the sum of its proper divisors (747964).

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

415520 is a wasteful number, since it uses less digits than its factorization.

415520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 415520 is about 644.6084082604. The cubic root of 415520 is about 74.6215004620.

The spelling of 415520 in words is "four hundred fifteen thousand, five hundred twenty".