464457728 has 104 divisors (see below), whose sum is σ = 1078852992. Its totient is φ = 195821568.

The previous prime is 464457727. The next prime is 464457739. The reversal of 464457728 is 827754464.

It is not an unprimeable number, because it can be changed into a prime (464457727) 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, 2781101 + ... + 2781267.

Almost surely, 2^464457728 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 464457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539426496).

464457728 is an abundant number, since it is smaller than the sum of its proper divisors (614395264).

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

464457728 is an equidigital number, since it uses as much as digits as its factorization.

464457728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 273 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 47.

The square root of 464457728 is about 21551.2813540170. The cubic root of 464457728 is about 774.4298146661.

The spelling of 464457728 in words is "four hundred sixty-four million, four hundred fifty-seven thousand, seven hundred twenty-eight".