413590484 has 24 divisors (see below), whose sum is σ = 768093480. Its totient is φ = 194190336.

The previous prime is 413590483. The next prime is 413590511. The reversal of 413590484 is 484095314.

413590484 = T₄₅₇ + T₄₅₈ + ... + T₁₃₇₀.

It can be written as a sum of positive squares in 4 ways, for example, as 61277584 + 352312900 = 7828^2 + 18770^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413590481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24422 + ... + 37730.

It is an arithmetic number, because the mean of its divisors is an integer number (32003895).

Almost surely, 2^413590484 is an apocalyptic number.

It is an amenable number.

413590484 is a deficient number, since it is larger than the sum of its proper divisors (354502996).

413590484 is a wasteful number, since it uses less digits than its factorization.

413590484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13787 (or 13785 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 413590484 is about 20336.9241528801. The cubic root of 413590484 is about 745.0581664118.

The spelling of 413590484 in words is "four hundred thirteen million, five hundred ninety thousand, four hundred eighty-four".