412535808 has 176 divisors, whose sum is σ = 1253746560. Its totient is φ = 133926912.

The previous prime is 412535803. The next prime is 412535831. The reversal of 412535808 is 808535214.

It is a happy number.

412535808 is a `hidden beast` number, since 41 + 2 + 535 + 80 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (412535803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188691 + ... + 1189037.

It is an arithmetic number, because the mean of its divisors is an integer number (7123560).

Almost surely, 2^412535808 is an apocalyptic number.

412535808 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 412535808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626873280).

412535808 is an abundant number, since it is smaller than the sum of its proper divisors (841210752).

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

412535808 is a wasteful number, since it uses less digits than its factorization.

412535808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 412535808 is about 20310.9775244817. The cubic root of 412535808 is about 744.4243157120.

The spelling of 412535808 in words is "four hundred twelve million, five hundred thirty-five thousand, eight hundred eight".