413289000 has 128 divisors (see below), whose sum is σ = 1432828800. Its totient is φ = 110203200.

The previous prime is 413288999. The next prime is 413289011. The reversal of 413289000 is 982314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19347 + ... + 34653.

It is an arithmetic number, because the mean of its divisors is an integer number (11193975).

Almost surely, 2^413289000 is an apocalyptic number.

413289000 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 413289000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716414400).

413289000 is an abundant number, since it is smaller than the sum of its proper divisors (1019539800).

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

413289000 is a wasteful number, since it uses less digits than its factorization.

413289000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15337 (or 15317 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 413289000 is about 20329.5105696128. The cubic root of 413289000 is about 744.8770873604.

The spelling of 413289000 in words is "four hundred thirteen million, two hundred eighty-nine thousand".