413568000 has 264 divisors, whose sum is σ = 1494473760. Its totient is φ = 109977600.

The previous prime is 413567963. The next prime is 413568017. The reversal of 413568000 is 865314.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151821 + ... + 1152179.

Almost surely, 2^413568000 is an apocalyptic number.

413568000 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 413568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747236880).

413568000 is an abundant number, since it is smaller than the sum of its proper divisors (1080905760).

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

413568000 is a wasteful number, since it uses less digits than its factorization.

413568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 413568000 is about 20336.3713577423. The cubic root of 413568000 is about 745.0446649798.

The spelling of 413568000 in words is "four hundred thirteen million, five hundred sixty-eight thousand".