415248 has 40 divisors (see below), whose sum is σ = 1104096. Its totient is φ = 134400.

The previous prime is 415231. The next prime is 415253. The reversal of 415248 is 842514.

415248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 1863 + ... + 2073.

2⁴¹⁵²⁴⁸ is an apocalyptic number.

415248 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 415248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552048).

415248 is an abundant number, since it is smaller than the sum of its proper divisors (688848).

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

415248 is a wasteful number, since it uses less digits than its factorization.

415248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 415248 is about 644.3973929184. The cubic root of 415248 is about 74.6052144601.

The spelling of 415248 in words is "four hundred fifteen thousand, two hundred forty-eight".