415140 has 96 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 92160.

The previous prime is 415133. The next prime is 415141. The reversal of 415140 is 41514.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415141) by changing a digit.

415140 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 31 ways as a sum of consecutive naturals, for example, 11202 + ... + 11238.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2⁴¹⁵¹⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

415140 is an abundant number, since it is smaller than the sum of its proper divisors (963804).

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

415140 is a wasteful number, since it uses less digits than its factorization.

415140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 415140 is about 644.3135882472. The cubic root of 415140 is about 74.5987459868.

Adding to 415140 its reverse (41514), we get a palindrome (456654).

It can be divided in two parts, 415 and 140, that added together give a palindrome (555).

The spelling of 415140 in words is "four hundred fifteen thousand, one hundred forty".