412500 has 72 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 100000.

The previous prime is 412493. The next prime is 412537. The reversal of 412500 is 5214.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

412500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37495 + ... + 37505.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2⁴¹²⁵⁰⁰ 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 412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

412500 is an abundant number, since it is smaller than the sum of its proper divisors (899916).

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

412500 is a wasteful number, since it uses less digits than its factorization.

412500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 412500 is about 642.2616289333. The cubic root of 412500 is about 74.4402776477.

Adding to 412500 its reverse (5214), we get a palindrome (417714).

The spelling of 412500 in words is "four hundred twelve thousand, five hundred".