413428900248 has 576 divisors, whose sum is σ = 1456114121280. Its totient is φ = 103175424000.

The previous prime is 413428900201. The next prime is 413428900279. The reversal of 413428900248 is 842009824314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 350066218 + ... + 350067398.

It is an arithmetic number, because the mean of its divisors is an integer number (2527975905).

Almost surely, 2^413428900248 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 413428900248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728057060640).

413428900248 is an abundant number, since it is smaller than the sum of its proper divisors (1042685221032).

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

413428900248 is a wasteful number, since it uses less digits than its factorization.

413428900248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 413428900248 in words is "four hundred thirteen billion, four hundred twenty-eight million, nine hundred thousand, two hundred forty-eight".