464528768 has 64 divisors (see below), whose sum is σ = 1013472000. Its totient is φ = 210332160.

The previous prime is 464528767. The next prime is 464528809. The reversal of 464528768 is 867825464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464528767) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 505013 + ... + 505931.

It is an arithmetic number, because the mean of its divisors is an integer number (15835500).

Almost surely, 2^464528768 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 464528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506736000).

464528768 is an abundant number, since it is smaller than the sum of its proper divisors (548943232).

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

464528768 is a wasteful number, since it uses less digits than its factorization.

464528768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1291 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

The square root of 464528768 is about 21552.9294528609. The cubic root of 464528768 is about 774.4692963283.

The spelling of 464528768 in words is "four hundred sixty-four million, five hundred twenty-eight thousand, seven hundred sixty-eight".