412132000 has 192 divisors, whose sum is σ = 1188794880. Its totient is φ = 137472000.

The previous prime is 412131997. The next prime is 412132087. The reversal of 412132000 is 231214.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147821 + ... + 1148179.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^412132000 is an apocalyptic number.

412132000 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 412132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

412132000 is an abundant number, since it is smaller than the sum of its proper divisors (776662880).

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

412132000 is a wasteful number, since it uses less digits than its factorization.

412132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 412132000 is about 20301.0344564015. The cubic root of 412132000 is about 744.1813447801.

Adding to 412132000 its reverse (231214), we get a palindrome (412363214).

The spelling of 412132000 in words is "four hundred twelve million, one hundred thirty-two thousand".