412760 has 32 divisors (see below), whose sum is σ = 984960. Its totient is φ = 155136.

The previous prime is 412739. The next prime is 412771. The reversal of 412760 is 67214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2⁴¹²⁷⁶⁰ is an apocalyptic number.

412760 is a gapful number since it is divisible by the number (40) 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 412760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492480).

412760 is an abundant number, since it is smaller than the sum of its proper divisors (572200).

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

412760 is a wasteful number, since it uses less digits than its factorization.

412760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 412760 is about 642.4640067739. The cubic root of 412760 is about 74.4559143404.

Adding to 412760 its reverse (67214), we get a palindrome (479974).

It can be divided in two parts, 4 and 12760, that multiplied together give a triangular number (51040 = T₃₁₉).

The spelling of 412760 in words is "four hundred twelve thousand, seven hundred sixty".