464632384 has 112 divisors (see below), whose sum is σ = 1042416000. Its totient is φ = 204374016.

The previous prime is 464632379. The next prime is 464632387. The reversal of 464632384 is 483236464.

It is not an unprimeable number, because it can be changed into a prime (464632387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034592 + ... + 1035040.

Almost surely, 2^464632384 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 464632384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521208000).

464632384 is an abundant number, since it is smaller than the sum of its proper divisors (577783616).

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

464632384 is a wasteful number, since it uses less digits than its factorization.

464632384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The square root of 464632384 is about 21555.3330755987. Note that the first 3 decimals coincide. The cubic root of 464632384 is about 774.5268754281.

The spelling of 464632384 in words is "four hundred sixty-four million, six hundred thirty-two thousand, three hundred eighty-four".