413303100 has 288 divisors, whose sum is σ = 1466572800. Its totient is φ = 87816960.

The previous prime is 413303069. The next prime is 413303117. The reversal of 413303100 is 1303314.

It is a super-2 number, since 2×413303100² = 341638904939220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 413303100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2076801 + ... + 2076999.

Almost surely, 2^413303100 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 413303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733286400).

413303100 is an abundant number, since it is smaller than the sum of its proper divisors (1053269700).

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

413303100 is a wasteful number, since it uses less digits than its factorization.

413303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 413303100 is about 20329.8573531641. The cubic root of 413303100 is about 744.8855581459.

Adding to 413303100 its reverse (1303314), we get a palindrome (414606414).

The spelling of 413303100 in words is "four hundred thirteen million, three hundred three thousand, one hundred".