412132500 has 180 divisors, whose sum is σ = 1402941540. Its totient is φ = 101376000.

The previous prime is 412132489. The next prime is 412132571. The reversal of 412132500 is 5231214.

412132500 is a `hidden beast` number, since 412 + 1 + 3 + 250 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 411765264 + 367236 = 20292^2 + 606^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 291796 + ... + 293204.

Almost surely, 2^412132500 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 412132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701470770).

412132500 is an abundant number, since it is smaller than the sum of its proper divisors (990809040).

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

412132500 is a wasteful number, since it uses less digits than its factorization.

412132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 412132500 is about 20301.0467710411. The cubic root of 412132500 is about 744.1816457278.

Adding to 412132500 its reverse (5231214), we get a palindrome (417363714).

The spelling of 412132500 in words is "four hundred twelve million, one hundred thirty-two thousand, five hundred".