413802000 has 320 divisors, whose sum is σ = 1516569600. Its totient is φ = 107827200.

The previous prime is 413801989. The next prime is 413802013. The reversal of 413802000 is 208314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 4265952 + ... + 4266048.

It is an arithmetic number, because the mean of its divisors is an integer number (4739280).

Almost surely, 2^413802000 is an apocalyptic number.

413802000 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 413802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758284800).

413802000 is an abundant number, since it is smaller than the sum of its proper divisors (1102767600).

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

413802000 is a wasteful number, since it uses less digits than its factorization.

413802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 413802000 is about 20342.1237829289. The cubic root of 413802000 is about 745.1851558469.

The spelling of 413802000 in words is "four hundred thirteen million, eight hundred two thousand".