412747776 has 216 divisors, whose sum is σ = 1389752910. Its totient is φ = 117669888.

The previous prime is 412747763. The next prime is 412747781. The reversal of 412747776 is 677747214.

It can be written as a sum of positive squares in only one way, i.e., 282240000 + 130507776 = 16800^2 + 11424^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 902940 + ... + 903396.

Almost surely, 2^412747776 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 412747776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694876455).

412747776 is an abundant number, since it is smaller than the sum of its proper divisors (977005134).

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

412747776 is a wasteful number, since it uses less digits than its factorization.

412747776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 469 counting only the distinct ones).

The product of its digits is 460992, while the sum is 45.

The square root of 412747776 is about 20316.1949193248. The cubic root of 412747776 is about 744.5517932240.

The spelling of 412747776 in words is "four hundred twelve million, seven hundred forty-seven thousand, seven hundred seventy-six".