413540 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 147840.

The previous prime is 413537. The next prime is 413551. The reversal of 413540 is 45314.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13325 + ... + 13355.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2⁴¹³⁵⁴⁰ 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 413540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

413540 is an abundant number, since it is smaller than the sum of its proper divisors (554140).

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

413540 is a wasteful number, since it uses less digits than its factorization.

413540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 413540 is about 643.0707581596. The cubic root of 413540 is about 74.5027850557.

Adding to 413540 its reverse (45314), we get a palindrome (458854).

The spelling of 413540 in words is "four hundred thirteen thousand, five hundred forty".