412440 has 64 divisors (see below), whose sum is σ = 1416960. Its totient is φ = 94080.

The previous prime is 412411. The next prime is 412457. The reversal of 412440 is 44214.

412440 = T₆₉ + T₇₀ + ... + T₁₄₀.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

412440 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 15 ways as a sum of consecutive naturals, for example, 595 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (22140).

2⁴¹²⁴⁴⁰ is an apocalyptic number.

412440 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 412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708480).

412440 is an abundant number, since it is smaller than the sum of its proper divisors (1004520).

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

412440 is a wasteful number, since it uses less digits than its factorization.

412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 412440 is about 642.2149172979. The cubic root of 412440 is about 74.4366682471.

Adding to 412440 its reverse (44214), we get a palindrome (456654).

The spelling of 412440 in words is "four hundred twelve thousand, four hundred forty", and thus it is an iban number.