413187800 has 48 divisors (see below), whose sum is σ = 965630160. Its totient is φ = 164420480.

The previous prime is 413187799. The next prime is 413187823. The reversal of 413187800 is 8781314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34157 + ... + 44643.

It is an arithmetic number, because the mean of its divisors is an integer number (20117295).

Almost surely, 2^413187800 is an apocalyptic number.

413187800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413187800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482815080).

413187800 is an abundant number, since it is smaller than the sum of its proper divisors (552442360).

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

413187800 is a wasteful number, since it uses less digits than its factorization.

413187800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10700 (or 10691 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 413187800 is about 20327.0214246948. The cubic root of 413187800 is about 744.8162842945.

The spelling of 413187800 in words is "four hundred thirteen million, one hundred eighty-seven thousand, eight hundred".