464364 has 18 divisors (see below), whose sum is σ = 1173900. Its totient is φ = 154776.

The previous prime is 464351. The next prime is 464371. The reversal of 464364 is 463464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 464364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6414 + ... + 6485.

2⁴⁶⁴³⁶⁴ is an apocalyptic number.

It is an amenable number.

464364 is an abundant number, since it is smaller than the sum of its proper divisors (709536).

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

464364 is a wasteful number, since it uses less digits than its factorization.

464364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12909 (or 12904 counting only the distinct ones).

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

The square root of 464364 is about 681.4425874569. The cubic root of 464364 is about 77.4377717610.

Subtracting from 464364 its reverse (463464), we obtain a square (900 = 30²).

It can be divided in two parts, 464 and 364, that added together give a palindrome (828).

The spelling of 464364 in words is "four hundred sixty-four thousand, three hundred sixty-four".