412632 has 48 divisors (see below), whose sum is σ = 1221480. Its totient is φ = 124800.

The previous prime is 412627. The next prime is 412637. The reversal of 412632 is 236214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (412627) and next prime (412637).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532 + ... + 1052.

2⁴¹²⁶³² 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 412632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610740).

412632 is an abundant number, since it is smaller than the sum of its proper divisors (808848).

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

412632 is a wasteful number, since it uses less digits than its factorization.

412632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 537 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 412632 is about 642.3643825743. The cubic root of 412632 is about 74.4482170972.

Adding to 412632 its reverse (236214), we get a palindrome (648846).

The spelling of 412632 in words is "four hundred twelve thousand, six hundred thirty-two".