415740 has 72 divisors (see below), whose sum is σ = 1291248. Its totient is φ = 99840.

The previous prime is 415729. The next prime is 415759. The reversal of 415740 is 47514.

415740 = 80² + 81² + ... + 120².

It is a congruent number.

It is an unprimeable number.

415740 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10120 + ... + 10160.

It is an arithmetic number, because the mean of its divisors is an integer number (17934).

2⁴¹⁵⁷⁴⁰ 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 415740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645624).

415740 is an abundant number, since it is smaller than the sum of its proper divisors (875508).

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

415740 is a wasteful number, since it uses less digits than its factorization.

415740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 415740 is about 644.7790319171. The cubic root of 415740 is about 74.6346677654.

The spelling of 415740 in words is "four hundred fifteen thousand, seven hundred forty".