412651008 has 240 divisors, whose sum is σ = 1486083456. Its totient is φ = 107089920.

The previous prime is 412651003. The next prime is 412651009. The reversal of 412651008 is 800156214.

412651008 is a `hidden beast` number, since 4 + 1 + 2 + 651 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412651003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354235 + ... + 355397.

Almost surely, 2^412651008 is an apocalyptic number.

412651008 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 412651008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743041728).

412651008 is an abundant number, since it is smaller than the sum of its proper divisors (1073432448).

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

412651008 is a wasteful number, since it uses less digits than its factorization.

412651008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 412651008 is about 20313.8132313950. The cubic root of 412651008 is about 744.4936023841.

The spelling of 412651008 in words is "four hundred twelve million, six hundred fifty-one thousand, eight".