412764 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 120640.

The previous prime is 412739. The next prime is 412771. The reversal of 412764 is 467214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6967 + ... + 7025.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴¹²⁷⁶⁴ is an apocalyptic number.

412764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

412764 is an abundant number, since it is smaller than the sum of its proper divisors (675876).

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

412764 is a wasteful number, since it uses less digits than its factorization.

412764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 128 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 412764 is about 642.4671197812. The cubic root of 412764 is about 74.4561548536.

Adding to 412764 its reverse (467214), we get a palindrome (879978).

It can be divided in two parts, 412 and 764, that added together give a triangular number (1176 = T₄₈).

The spelling of 412764 in words is "four hundred twelve thousand, seven hundred sixty-four".