412141200 has 240 divisors, whose sum is σ = 1419819840. Its totient is φ = 101826560.

The previous prime is 412141199. The next prime is 412141207. The reversal of 412141200 is 2141214.

It is a tau number, because it is divible by the number of its divisors (240).

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 412141200.

It is not an unprimeable number, because it can be changed into a prime (412141207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1815487 + ... + 1815713.

It is an arithmetic number, because the mean of its divisors is an integer number (5915916).

Almost surely, 2^412141200 is an apocalyptic number.

412141200 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 412141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709909920).

412141200 is an abundant number, since it is smaller than the sum of its proper divisors (1007678640).

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

412141200 is a wasteful number, since it uses less digits than its factorization.

412141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 412141200 is about 20301.2610445755. The cubic root of 412141200 is about 744.1868821787.

Adding to 412141200 its reverse (2141214), we get a palindrome (414282414).

The spelling of 412141200 in words is "four hundred twelve million, one hundred forty-one thousand, two hundred".