412779576 has 64 divisors (see below), whose sum is σ = 1144886400. Its totient is φ = 122960000.

The previous prime is 412779553. The next prime is 412779593. The reversal of 412779576 is 675977214.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2326 + ... + 28826.

It is an arithmetic number, because the mean of its divisors is an integer number (17888850).

Almost surely, 2^412779576 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 412779576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572443200).

412779576 is an abundant number, since it is smaller than the sum of its proper divisors (732106824).

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

412779576 is a wasteful number, since it uses less digits than its factorization.

412779576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26580 (or 26576 counting only the distinct ones).

The product of its digits is 740880, while the sum is 48.

The square root of 412779576 is about 20316.9775311191. The cubic root of 412779576 is about 744.5709139723.

The spelling of 412779576 in words is "four hundred twelve million, seven hundred seventy-nine thousand, five hundred seventy-six".