412616970 has 128 divisors (see below), whose sum is σ = 1143866880. Its totient is φ = 105753600.

The previous prime is 412616969. The next prime is 412616983. The reversal of 412616970 is 79616214.

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, 1028770 + ... + 1029170.

It is an arithmetic number, because the mean of its divisors is an integer number (8936460).

Almost surely, 2^412616970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412616970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571933440).

412616970 is an abundant number, since it is smaller than the sum of its proper divisors (731249910).

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

412616970 is a wasteful number, since it uses less digits than its factorization.

412616970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 412616970 is about 20312.9754098212. The cubic root of 412616970 is about 744.4731316800.

The spelling of 412616970 in words is "four hundred twelve million, six hundred sixteen thousand, nine hundred seventy".