413741376 has 336 divisors, whose sum is σ = 1369405440. Its totient is φ = 118702080.

The previous prime is 413741369. The next prime is 413741401. The reversal of 413741376 is 673147314.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 413741376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8802985 + ... + 8803031.

Almost surely, 2^413741376 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 413741376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684702720).

413741376 is an abundant number, since it is smaller than the sum of its proper divisors (955664064).

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

413741376 is a wasteful number, since it uses less digits than its factorization.

413741376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 413741376 is about 20340.6336184495. The cubic root of 413741376 is about 745.1487629898.

The spelling of 413741376 in words is "four hundred thirteen million, seven hundred forty-one thousand, three hundred seventy-six".