415280 has 40 divisors (see below), whose sum is σ = 1004400. Its totient is φ = 159488.

The previous prime is 415273. The next prime is 415319. The reversal of 415280 is 82514.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 415280.

It is an unprimeable number.

415280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2231 + ... + 2409.

It is an arithmetic number, because the mean of its divisors is an integer number (25110).

2⁴¹⁵²⁸⁰ is an apocalyptic number.

415280 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 415280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502200).

415280 is an abundant number, since it is smaller than the sum of its proper divisors (589120).

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

415280 is a wasteful number, since it uses less digits than its factorization.

415280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 415280 is about 644.4222218391. The cubic root of 415280 is about 74.6071308294.

Adding to 415280 its reverse (82514), we get a palindrome (497794).

The spelling of 415280 in words is "four hundred fifteen thousand, two hundred eighty".