412003600 has 120 divisors (see below), whose sum is σ = 1087698240. Its totient is φ = 149276160.

The previous prime is 412003591. The next prime is 412003643. The reversal of 412003600 is 6300214.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173622 + ... + 175978.

It is an arithmetic number, because the mean of its divisors is an integer number (9064152).

Almost surely, 2^412003600 is an apocalyptic number.

412003600 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 412003600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543849120).

412003600 is an abundant number, since it is smaller than the sum of its proper divisors (675694640).

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

412003600 is a wasteful number, since it uses less digits than its factorization.

412003600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 412003600 is about 20297.8718096258. The cubic root of 412003600 is about 744.1040533544.

Adding to 412003600 its reverse (6300214), we get a palindrome (418303814).

The spelling of 412003600 in words is "four hundred twelve million, three thousand, six hundred".