412160800 has 72 divisors (see below), whose sum is σ = 1016349012. Its totient is φ = 163200000.

The previous prime is 412160729. The next prime is 412160803. The reversal of 412160800 is 8061214.

It can be written as a sum of positive squares in 6 ways, for example, as 113976976 + 298183824 = 10676^2 + 17268^2 .

It is a super-3 number, since 3×412160800³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (412160803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78250 + ... + 83350.

Almost surely, 2^412160800 is an apocalyptic number.

412160800 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 412160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508174506).

412160800 is an abundant number, since it is smaller than the sum of its proper divisors (604188212).

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

412160800 is a wasteful number, since it uses less digits than its factorization.

412160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 412160800 is about 20301.7437674698. The cubic root of 412160800 is about 744.1986789704.

The spelling of 412160800 in words is "four hundred twelve million, one hundred sixty thousand, eight hundred".