412001320 has 64 divisors (see below), whose sum is σ = 991900800. Its totient is φ = 153550080.

The previous prime is 412001297. The next prime is 412001329. The reversal of 412001320 is 23100214.

It is a self number, because there is not a number n which added to its sum of digits gives 412001320.

It is not an unprimeable number, because it can be changed into a prime (412001329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41917 + ... + 50803.

It is an arithmetic number, because the mean of its divisors is an integer number (15498450).

Almost surely, 2^412001320 is an apocalyptic number.

412001320 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 412001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495950400).

412001320 is an abundant number, since it is smaller than the sum of its proper divisors (579899480).

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

412001320 is a wasteful number, since it uses less digits than its factorization.

412001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8978 (or 8974 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 412001320 is about 20297.8156460246. The cubic root of 412001320 is about 744.1026807448.

Adding to 412001320 its reverse (23100214), we get a palindrome (435101534).

The spelling of 412001320 in words is "four hundred twelve million, one thousand, three hundred twenty".