412033200 has 120 divisors (see below), whose sum is σ = 1325303568. Its totient is φ = 109424640.

The previous prime is 412033163. The next prime is 412033207. The reversal of 412033200 is 2330214.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 412033200.

It is not an unprimeable number, because it can be changed into a prime (412033207) 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 23 ways as a sum of consecutive naturals, for example, 375052 + ... + 376148.

Almost surely, 2^412033200 is an apocalyptic number.

412033200 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 412033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662651784).

412033200 is an abundant number, since it is smaller than the sum of its proper divisors (913270368).

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

412033200 is a wasteful number, since it uses less digits than its factorization.

412033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 412033200 is about 20298.6009370104. The cubic root of 412033200 is about 744.1218727396.

Adding to 412033200 its reverse (2330214), we get a palindrome (414363414).

The spelling of 412033200 in words is "four hundred twelve million, thirty-three thousand, two hundred".