412944408 has 48 divisors (see below), whose sum is σ = 1124674200. Its totient is φ = 136879152.

The previous prime is 412944403. The next prime is 412944419. The reversal of 412944408 is 804449214.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412944401) 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, 2306863 + ... + 2307041.

Almost surely, 2^412944408 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 412944408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562337100).

412944408 is an abundant number, since it is smaller than the sum of its proper divisors (711729792).

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

412944408 is an frugal number, since it uses more digits than its factorization.

412944408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 412944408 is about 20321.0336351279. The cubic root of 412944408 is about 744.6700086526.

The spelling of 412944408 in words is "four hundred twelve million, nine hundred forty-four thousand, four hundred eight".