412124000 has 96 divisors (see below), whose sum is σ = 1019674656. Its totient is φ = 163699200.

The previous prime is 412123993. The next prime is 412124021. The reversal of 412124000 is 421214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787739 + ... + 788261.

It is an arithmetic number, because the mean of its divisors is an integer number (10621611).

Almost surely, 2^412124000 is an apocalyptic number.

412124000 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 412124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509837328).

412124000 is an abundant number, since it is smaller than the sum of its proper divisors (607550656).

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

412124000 is a wasteful number, since it uses less digits than its factorization.

412124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 412124000 is about 20300.8374211509. The cubic root of 412124000 is about 744.1765295840.

Adding to 412124000 its reverse (421214), we get a palindrome (412545214).

The spelling of 412124000 in words is "four hundred twelve million, one hundred twenty-four thousand".