412749600 has 144 divisors (see below), whose sum is σ = 1351163520. Its totient is φ = 109440000.

The previous prime is 412749581. The next prime is 412749653. The reversal of 412749600 is 6947214.

It is a happy number.

It is an unprimeable number.

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, 549225 + ... + 549975.

It is an arithmetic number, because the mean of its divisors is an integer number (9383080).

Almost surely, 2^412749600 is an apocalyptic number.

412749600 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 412749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675581760).

412749600 is an abundant number, since it is smaller than the sum of its proper divisors (938413920).

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

412749600 is a wasteful number, since it uses less digits than its factorization.

412749600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 412749600 is about 20316.2398095711. The cubic root of 412749600 is about 744.5528899878.

The spelling of 412749600 in words is "four hundred twelve million, seven hundred forty-nine thousand, six hundred".