464784 has 40 divisors (see below), whose sum is σ = 1255872. Its totient is φ = 147840.

The previous prime is 464777. The next prime is 464801. The reversal of 464784 is 487464.

464784 = 131² + 132² + ... + 153².

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 464784.

It is an unprimeable number.

464784 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 7 ways as a sum of consecutive naturals, for example, 894 + ... + 1314.

2⁴⁶⁴⁷⁸⁴ 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 464784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627936).

464784 is an abundant number, since it is smaller than the sum of its proper divisors (791088).

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

464784 is a wasteful number, since it uses less digits than its factorization.

464784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 464784 is about 681.7506875684. The cubic root of 464784 is about 77.4611112558.

The spelling of 464784 in words is "four hundred sixty-four thousand, seven hundred eighty-four".