412209408 has 288 divisors, whose sum is σ = 1298021760. Its totient is φ = 115015680.

The previous prime is 412209407. The next prime is 412209433. The reversal of 412209408 is 804902214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412209401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7777510 + ... + 7777562.

It is an arithmetic number, because the mean of its divisors is an integer number (4507020).

Almost surely, 2^412209408 is an apocalyptic number.

412209408 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 412209408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649010880).

412209408 is an abundant number, since it is smaller than the sum of its proper divisors (885812352).

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

412209408 is a wasteful number, since it uses less digits than its factorization.

412209408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 412209408 is about 20302.9408707212. The cubic root of 412209408 is about 744.2279334001.

The spelling of 412209408 in words is "four hundred twelve million, two hundred nine thousand, four hundred eight".