464786784 has 144 divisors (see below), whose sum is σ = 1647959040. Its totient is φ = 120718080.

The previous prime is 464786761. The next prime is 464786827. The reversal of 464786784 is 487687464.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 464786784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11697 + ... + 32655.

It is an arithmetic number, because the mean of its divisors is an integer number (11444160).

Almost surely, 2^464786784 is an apocalyptic number.

464786784 is a gapful number since it is divisible by the number (44) 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 464786784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823979520).

464786784 is an abundant number, since it is smaller than the sum of its proper divisors (1183172256).

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

464786784 is a wasteful number, since it uses less digits than its factorization.

464786784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20993 (or 20982 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 464786784 is about 21558.9142583758. The cubic root of 464786784 is about 774.6126591642.

The spelling of 464786784 in words is "four hundred sixty-four million, seven hundred eighty-six thousand, seven hundred eighty-four".