412883072 has 128 divisors (see below), whose sum is σ = 1005312000. Its totient is φ = 164975616.

The previous prime is 412883069. The next prime is 412883087. The reversal of 412883072 is 270388214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×412883072² = 340944862288314368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1344743 + ... + 1345049.

It is an arithmetic number, because the mean of its divisors is an integer number (7854000).

Almost surely, 2^412883072 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 412883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502656000).

412883072 is an abundant number, since it is smaller than the sum of its proper divisors (592428928).

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

412883072 is a wasteful number, since it uses less digits than its factorization.

412883072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 412883072 is about 20319.5244038831. The cubic root of 412883072 is about 744.6331373931.

The spelling of 412883072 in words is "four hundred twelve million, eight hundred eighty-three thousand, seventy-two".