413022000 has 160 divisors (see below), whose sum is σ = 1402053120. Its totient is φ = 104313600.

The previous prime is 413021989. The next prime is 413022013. The reversal of 413022000 is 220314.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 112189 + ... + 115811.

It is an arithmetic number, because the mean of its divisors is an integer number (8762832).

Almost surely, 2^413022000 is an apocalyptic number.

413022000 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 413022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701026560).

413022000 is an abundant number, since it is smaller than the sum of its proper divisors (989031120).

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

413022000 is a wasteful number, since it uses less digits than its factorization.

413022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 413022000 is about 20322.9427003079. The cubic root of 413022000 is about 744.7166467437.

Adding to 413022000 its reverse (220314), we get a palindrome (413242314).

The spelling of 413022000 in words is "four hundred thirteen million, twenty-two thousand".