413394500 has 48 divisors (see below), whose sum is σ = 911409408. Its totient is φ = 163791200.

The previous prime is 413394463. The next prime is 413394529. The reversal of 413394500 is 5493314.

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 15 ways as a sum of consecutive naturals, for example, 49637 + ... + 57363.

It is an arithmetic number, because the mean of its divisors is an integer number (18987696).

Almost surely, 2^413394500 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 413394500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455704704).

413394500 is an abundant number, since it is smaller than the sum of its proper divisors (498014908).

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

413394500 is a wasteful number, since it uses less digits than its factorization.

413394500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853 (or 7841 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 413394500 is about 20332.1051541644. The cubic root of 413394500 is about 744.9404633893.

The spelling of 413394500 in words is "four hundred thirteen million, three hundred ninety-four thousand, five hundred".