464736384 has 144 divisors (see below), whose sum is σ = 1555855470. Its totient is φ = 132765696.

The previous prime is 464736359. The next prime is 464736401. The reversal of 464736384 is 483637464.

464736384 is a `hidden beast` number, since 4 + 6 + 4 + 7 + 3 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 441000000 + 23736384 = 21000^2 + 4872^2 .

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

It is a super-2 number, since 2×464736384² = 431959813226790912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52332 + ... + 60564.

Almost surely, 2^464736384 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 464736384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777927735).

464736384 is an abundant number, since it is smaller than the sum of its proper divisors (1091119086).

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

464736384 is a wasteful number, since it uses less digits than its factorization.

464736384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8245 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 464736384 is about 21557.7453366534. The cubic root of 464736384 is about 774.5846593081.

The spelling of 464736384 in words is "four hundred sixty-four million, seven hundred thirty-six thousand, three hundred eighty-four".