412131300 has 144 divisors (see below), whose sum is σ = 1370328960. Its totient is φ = 93680640.

The previous prime is 412131287. The next prime is 412131301. The reversal of 412131300 is 3131214.

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 412131300.

It is not an unprimeable number, because it can be changed into a prime (412131301) 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, 480472 + ... + 481328.

Almost surely, 2^412131300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685164480).

412131300 is an abundant number, since it is smaller than the sum of its proper divisors (958197660).

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

412131300 is a wasteful number, since it uses less digits than its factorization.

412131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 412131300 is about 20301.0172158934. The cubic root of 412131300 is about 744.1809234530.

Adding to 412131300 its reverse (3131214), we get a palindrome (415262514).

The spelling of 412131300 in words is "four hundred twelve million, one hundred thirty-one thousand, three hundred".