413124096 has 240 divisors, whose sum is σ = 1399464000. Its totient is φ = 107089920.

The previous prime is 413124083. The next prime is 413124109. The reversal of 413124096 is 690421314.

It is an interprime number because it is at equal distance from previous prime (413124083) and next prime (413124109).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827655 + ... + 828153.

It is an arithmetic number, because the mean of its divisors is an integer number (5831100).

Almost surely, 2^413124096 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 413124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699732000).

413124096 is an abundant number, since it is smaller than the sum of its proper divisors (986339904).

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

413124096 is a wasteful number, since it uses less digits than its factorization.

413124096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 413124096 is about 20325.4543860648. The cubic root of 413124096 is about 744.7780045137.

The spelling of 413124096 in words is "four hundred thirteen million, one hundred twenty-four thousand, ninety-six".