413591040 has 240 divisors, whose sum is σ = 1484168400. Its totient is φ = 106315776.

The previous prime is 413591029. The next prime is 413591047. The reversal of 413591040 is 40195314.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 413590995 and 413591013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413591047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667851 + ... + 668469.

It is an arithmetic number, because the mean of its divisors is an integer number (6184035).

Almost surely, 2^413591040 is an apocalyptic number.

413591040 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 413591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742084200).

413591040 is an abundant number, since it is smaller than the sum of its proper divisors (1070577360).

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

413591040 is a wasteful number, since it uses less digits than its factorization.

413591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 413591040 is about 20336.9378225927. The cubic root of 413591040 is about 745.0585002784.

The spelling of 413591040 in words is "four hundred thirteen million, five hundred ninety-one thousand, forty".