413100576 has 216 divisors, whose sum is σ = 1388725884. Its totient is φ = 116121600.

The previous prime is 413100553. The next prime is 413100599. The reversal of 413100576 is 675001314.

It is an interprime number because it is at equal distance from previous prime (413100553) and next prime (413100599).

It can be written as a sum of positive squares in 2 ways, for example, as 357210000 + 55890576 = 18900^2 + 7476^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1029976 + ... + 1030376.

Almost surely, 2^413100576 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 413100576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694362942).

413100576 is an abundant number, since it is smaller than the sum of its proper divisors (975625308).

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

413100576 is a wasteful number, since it uses less digits than its factorization.

413100576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 413100576 is about 20324.8757929784. The cubic root of 413100576 is about 744.7638703336.

The spelling of 413100576 in words is "four hundred thirteen million, one hundred thousand, five hundred seventy-six".