413798160600 has 768 divisors, whose sum is σ = 1590969600000. Its totient is φ = 98014924800.

The previous prime is 413798160593. The next prime is 413798160613. The reversal of 413798160600 is 6061897314.

It is a happy number.

413798160600 is a `hidden beast` number, since 4 + 1 + 37 + 9 + 8 + 1 + 6 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 511492996 + ... + 511493804.

It is an arithmetic number, because the mean of its divisors is an integer number (2071575000).

Almost surely, 2^413798160600 is an apocalyptic number.

413798160600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413798160600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795484800000).

413798160600 is an abundant number, since it is smaller than the sum of its proper divisors (1177171439400).

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

413798160600 is a wasteful number, since it uses less digits than its factorization.

413798160600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 413798160600 in words is "four hundred thirteen billion, seven hundred ninety-eight million, one hundred sixty thousand, six hundred".