412330000 has 50 divisors (see below), whose sum is σ = 998316374. Its totient is φ = 164928000.

The previous prime is 412329979. The next prime is 412330003. The reversal of 412330000 is 33214.

It can be written as a sum of positive squares in 5 ways, for example, as 184199184 + 228130816 = 13572^2 + 15104^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (412330003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10617 + ... + 30616.

Almost surely, 2^412330000 is an apocalyptic number.

412330000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412330000 is an abundant number, since it is smaller than the sum of its proper divisors (585986374).

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

412330000 is an equidigital number, since it uses as much as digits as its factorization.

412330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41261 (or 41240 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 412330000 is about 20305.9104696145. The cubic root of 412330000 is about 744.3005010342.

Adding to 412330000 its reverse (33214), we get a palindrome (412363214).

The spelling of 412330000 in words is "four hundred twelve million, three hundred thirty thousand".