412576944 has 320 divisors, whose sum is σ = 1349913600. Its totient is φ = 107053056.

The previous prime is 412576919. The next prime is 412577027. The reversal of 412576944 is 449675214.

It is a junction number, because it is equal to n+sod(n) for n = 412576896 and 412576905.

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, 4635652 + ... + 4635740.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2^412576944 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 412576944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

412576944 is an abundant number, since it is smaller than the sum of its proper divisors (937336656).

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

412576944 is a wasteful number, since it uses less digits than its factorization.

412576944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 412576944 is about 20311.9901536014. The cubic root of 412576944 is about 744.4490583082.

The spelling of 412576944 in words is "four hundred twelve million, five hundred seventy-six thousand, nine hundred forty-four".