412823808 has 108 divisors (see below), whose sum is σ = 1196935740. Its totient is φ = 136839168.

The previous prime is 412823777. The next prime is 412823839. The reversal of 412823808 is 808328214.

It is a happy number.

412823808 is a `hidden beast` number, since 412 + 8 + 238 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (412823777) and next prime (412823839).

It can be written as a sum of positive squares in 2 ways, for example, as 120824064 + 291999744 = 10992^2 + 17088^2 .

It is a super-3 number, since 3×412823808³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536448 + ... + 537216.

Almost surely, 2^412823808 is an apocalyptic number.

412823808 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 412823808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598467870).

412823808 is an abundant number, since it is smaller than the sum of its proper divisors (784111932).

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

412823808 is a wasteful number, since it uses less digits than its factorization.

412823808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 412823808 is about 20318.0660497007. The cubic root of 412823808 is about 744.5975082180.

The spelling of 412823808 in words is "four hundred twelve million, eight hundred twenty-three thousand, eight hundred eight".