413727300 has 216 divisors, whose sum is σ = 1569649536. Its totient is φ = 88980480.

The previous prime is 413727287. The next prime is 413727319. The reversal of 413727300 is 3727314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105169 + ... + 109031.

It is an arithmetic number, because the mean of its divisors is an integer number (7266896).

Almost surely, 2^413727300 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 413727300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784824768).

413727300 is an abundant number, since it is smaller than the sum of its proper divisors (1155922236).

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

413727300 is a wasteful number, since it uses less digits than its factorization.

413727300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 413727300 is about 20340.2876085861. The cubic root of 413727300 is about 745.1403125958.

The spelling of 413727300 in words is "four hundred thirteen million, seven hundred twenty-seven thousand, three hundred".