413319900 has 216 divisors, whose sum is σ = 1437574656. Its totient is φ = 91324800.

The previous prime is 413319899. The next prime is 413319947. The reversal of 413319900 is 9913314.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 455247 + ... + 456153.

Almost surely, 2^413319900 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 413319900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718787328).

413319900 is an abundant number, since it is smaller than the sum of its proper divisors (1024254756).

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

413319900 is a wasteful number, since it uses less digits than its factorization.

413319900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 413319900 is about 20330.2705343534. The cubic root of 413319900 is about 744.8956507453.

The spelling of 413319900 in words is "four hundred thirteen million, three hundred nineteen thousand, nine hundred".