413848000 has 168 divisors, whose sum is σ = 1094811120. Its totient is φ = 154931200.

The previous prime is 413847991. The next prime is 413848003. The reversal of 413848000 is 848314.

It is a self number, because there is not a number n which added to its sum of digits gives 413848000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413848003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2311911 + ... + 2312089.

Almost surely, 2^413848000 is an apocalyptic number.

413848000 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 413848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547405560).

413848000 is an abundant number, since it is smaller than the sum of its proper divisors (680963120).

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

413848000 is a wasteful number, since it uses less digits than its factorization.

413848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 413848000 is about 20343.2544102462. The cubic root of 413848000 is about 745.2127674801.

The spelling of 413848000 in words is "four hundred thirteen million, eight hundred forty-eight thousand".