412608 has 56 divisors (see below), whose sum is σ = 1251712. Its totient is φ = 117504.

The previous prime is 412603. The next prime is 412609. The reversal of 412608 is 806214.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 412608.

It is not an unprimeable number, because it can be changed into a prime (412603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1191 + ... + 1497.

It is an arithmetic number, because the mean of its divisors is an integer number (22352).

2⁴¹²⁶⁰⁸ is an apocalyptic number.

412608 is a gapful number since it is divisible by the number (48) 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 412608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625856).

412608 is an abundant number, since it is smaller than the sum of its proper divisors (839104).

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

412608 is a wasteful number, since it uses less digits than its factorization.

412608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 412608 is about 642.3457013167. The cubic root of 412608 is about 74.4467736868.

The spelling of 412608 in words is "four hundred twelve thousand, six hundred eight".