412776 has 120 divisors (see below), whose sum is σ = 1448370. Its totient is φ = 108864.

The previous prime is 412771. The next prime is 412793. The reversal of 412776 is 677214.

412776 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 15876 = 630^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (412771) by changing a digit.

412776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31746 + ... + 31758.

2⁴¹²⁷⁷⁶ 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 412776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724185).

412776 is an abundant number, since it is smaller than the sum of its proper divisors (1035594).

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

412776 is a wasteful number, since it uses less digits than its factorization.

412776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 25 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 412776 is about 642.4764587127. The cubic root of 412776 is about 74.4568763839.

The spelling of 412776 in words is "four hundred twelve thousand, seven hundred seventy-six".