413104536 has 320 divisors, whose sum is σ = 1372140000. Its totient is φ = 114960384.

The previous prime is 413104511. The next prime is 413104577. The reversal of 413104536 is 635401314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4641580 + ... + 4641668.

Almost surely, 2^413104536 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 413104536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686070000).

413104536 is an abundant number, since it is smaller than the sum of its proper divisors (959035464).

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

413104536 is a wasteful number, since it uses less digits than its factorization.

413104536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 413104536 is about 20324.9732103144. The cubic root of 413104536 is about 744.7662501056.

The spelling of 413104536 in words is "four hundred thirteen million, one hundred four thousand, five hundred thirty-six".