412414900 has 144 divisors (see below), whose sum is σ = 996779952. Its totient is φ = 147456000.

The previous prime is 412414867. The next prime is 412414901. The reversal of 412414900 is 9414214.

It can be written as a sum of positive squares in 24 ways, for example, as 398960676 + 13454224 = 19974^2 + 3668^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412414901) 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, 4251652 + ... + 4251748.

It is an arithmetic number, because the mean of its divisors is an integer number (6922083).

Almost surely, 2^412414900 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 412414900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498389976).

412414900 is an abundant number, since it is smaller than the sum of its proper divisors (584365052).

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

412414900 is a wasteful number, since it uses less digits than its factorization.

412414900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 412414900 is about 20308.0008863502. Note that the first 3 decimals coincide. The cubic root of 412414900 is about 744.3515821067.

It can be divided in two parts, 412414 and 900, that added together give a palindrome (413314).

The spelling of 412414900 in words is "four hundred twelve million, four hundred fourteen thousand, nine hundred".