413790300 has 324 divisors, whose sum is σ = 1647847656. Its totient is φ = 85881600.

The previous prime is 413790259. The next prime is 413790301. The reversal of 413790300 is 3097314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413790301) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 484674 + ... + 485526.

Almost surely, 2^413790300 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 413790300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823923828).

413790300 is an abundant number, since it is smaller than the sum of its proper divisors (1234057356).

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

413790300 is a wasteful number, since it uses less digits than its factorization.

413790300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 413790300 is about 20341.8362003040. The cubic root of 413790300 is about 745.1781325617.

The spelling of 413790300 in words is "four hundred thirteen million, seven hundred ninety thousand, three hundred".