413595140 has 48 divisors (see below), whose sum is σ = 997836672. Its totient is φ = 141060096.

The previous prime is 413595107. The next prime is 413595157. The reversal of 413595140 is 41595314.

It is a junction number, because it is equal to n+sod(n) for n = 413595097 and 413595106.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 19367 + ... + 34673.

It is an arithmetic number, because the mean of its divisors is an integer number (20788264).

Almost surely, 2^413595140 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 413595140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498918336).

413595140 is an abundant number, since it is smaller than the sum of its proper divisors (584241532).

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

413595140 is a wasteful number, since it uses less digits than its factorization.

413595140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15516 (or 15514 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 413595140 is about 20337.0386241458. The cubic root of 413595140 is about 745.0609622351.

The spelling of 413595140 in words is "four hundred thirteen million, five hundred ninety-five thousand, one hundred forty".