412117776 has 120 divisors (see below), whose sum is σ = 1330789824. Its totient is φ = 116616960.

The previous prime is 412117711. The next prime is 412117781. The reversal of 412117776 is 677711214.

412117776 is a `hidden beast` number, since 412 + 1 + 177 + 76 = 666.

It is a super-2 number, since 2×412117776² = 339682122590372352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 412117776.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105946 + ... + 109766.

Almost surely, 2^412117776 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 412117776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665394912).

412117776 is an abundant number, since it is smaller than the sum of its proper divisors (918672048).

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

412117776 is a wasteful number, since it uses less digits than its factorization.

412117776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3940 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 412117776 is about 20300.6841264032. The cubic root of 412117776 is about 744.1727833182.

The spelling of 412117776 in words is "four hundred twelve million, one hundred seventeen thousand, seven hundred seventy-six".