436464 has 60 divisors (see below), whose sum is σ = 1399216. Its totient is φ = 124416.

The previous prime is 436463. The next prime is 436477. The reversal of 436464 is 464634.

It is a happy number.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 436464.

It is not an unprimeable number, because it can be changed into a prime (436463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792 + ... + 1224.

2⁴³⁶⁴⁶⁴ 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 436464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699608).

436464 is an abundant number, since it is smaller than the sum of its proper divisors (962752).

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

436464 is a wasteful number, since it uses less digits than its factorization.

436464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 445 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 436464 is about 660.6542212080. The cubic root of 436464 is about 75.8547549137.

It can be divided in two parts, 436 and 464, that added together give a square (900 = 30²).

The spelling of 436464 in words is "four hundred thirty-six thousand, four hundred sixty-four".