412238000 has 160 divisors (see below), whose sum is σ = 1055408640. Its totient is φ = 155520000.

The previous prime is 412237961. The next prime is 412238011. The reversal of 412238000 is 832214.

412238000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3781946 + ... + 3782054.

It is an arithmetic number, because the mean of its divisors is an integer number (6596304).

Almost surely, 2^412238000 is an apocalyptic number.

412238000 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 412238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527704320).

412238000 is an abundant number, since it is smaller than the sum of its proper divisors (643170640).

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

412238000 is a wasteful number, since it uses less digits than its factorization.

412238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 412238000 is about 20303.6449929563. The cubic root of 412238000 is about 744.2451402475.

The spelling of 412238000 in words is "four hundred twelve million, two hundred thirty-eight thousand".