412002276 has 192 divisors, whose sum is σ = 1235533824. Its totient is φ = 104140800.

The previous prime is 412002263. The next prime is 412002343. The reversal of 412002276 is 672200214.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1814875 + ... + 1815101.

It is an arithmetic number, because the mean of its divisors is an integer number (6435072).

Almost surely, 2^412002276 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 412002276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617766912).

412002276 is an abundant number, since it is smaller than the sum of its proper divisors (823531548).

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

412002276 is a wasteful number, since it uses less digits than its factorization.

412002276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 412002276 is about 20297.8391953429. The cubic root of 412002276 is about 744.1032562782.

The spelling of 412002276 in words is "four hundred twelve million, two thousand, two hundred seventy-six".