413567000 has 256 divisors, whose sum is σ = 1245404160. Its totient is φ = 124800000.

The previous prime is 413566921. The next prime is 413567009. The reversal of 413567000 is 765314.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413567009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3156935 + ... + 3157065.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2^413567000 is an apocalyptic number.

413567000 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 413567000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702080).

413567000 is an abundant number, since it is smaller than the sum of its proper divisors (831837160).

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

413567000 is a wasteful number, since it uses less digits than its factorization.

413567000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 413567000 is about 20336.3467712370. The cubic root of 413567000 is about 745.0440644777.

The spelling of 413567000 in words is "four hundred thirteen million, five hundred sixty-seven thousand".