464436 has 72 divisors (see below), whose sum is σ = 1426880. Its totient is φ = 124416.

The previous prime is 464419. The next prime is 464437. The reversal of 464436 is 634464.

It is a happy number.

464436 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (6912) is a multiple of the sum of its prime divisors (128).

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 464436.

It is not an unprimeable number, because it can be changed into a prime (464437) by changing a digit.

464436 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 23 ways as a sum of consecutive naturals, for example, 4740 + ... + 4836.

2⁴⁶⁴⁴³⁶ 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 464436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713440).

464436 is an abundant number, since it is smaller than the sum of its proper divisors (962444).

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

464436 is a wasteful number, since it uses less digits than its factorization.

464436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 128 counting only the distinct ones).

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

The square root of 464436 is about 681.4954145114. The cubic root of 464436 is about 77.4417738165.

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

The spelling of 464436 in words is "four hundred sixty-four thousand, four hundred thirty-six".