412340000 has 120 divisors (see below), whose sum is σ = 1036215180. Its totient is φ = 161408000.

The previous prime is 412339979. The next prime is 412340011. The reversal of 412340000 is 43214.

It can be written as a sum of positive squares in 10 ways, for example, as 37994896 + 374345104 = 6164^2 + 19348^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1059806 + ... + 1060194.

Almost surely, 2^412340000 is an apocalyptic number.

412340000 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 412340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518107590).

412340000 is an abundant number, since it is smaller than the sum of its proper divisors (623875180).

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

412340000 is an equidigital number, since it uses as much as digits as its factorization.

412340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 412340000 is about 20306.1567018478. The cubic root of 412340000 is about 744.3065180148.

Adding to 412340000 its reverse (43214), we get a palindrome (412383214).

The spelling of 412340000 in words is "four hundred twelve million, three hundred forty thousand".