415488 has 36 divisors (see below), whose sum is σ = 1107848. Its totient is φ = 138240.

The previous prime is 415477. The next prime is 415489. The reversal of 415488 is 884514.

415488 is nontrivially palindromic in base 14.

415488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415489) by changing a digit.

415488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 498 + ... + 1038.

2⁴¹⁵⁴⁸⁸ is an apocalyptic number.

415488 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 415488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553924).

415488 is an abundant number, since it is smaller than the sum of its proper divisors (692360).

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

415488 is an equidigital number, since it uses as much as digits as its factorization.

415488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 546 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 415488 is about 644.5835865115. The cubic root of 415488 is about 74.6195848308.

It can be divided in two parts, 415 and 488, that added together give a triangular number (903 = T₄₂).

The spelling of 415488 in words is "four hundred fifteen thousand, four hundred eighty-eight".