464928768 has 120 divisors (see below), whose sum is σ = 1378835360. Its totient is φ = 154828800.

The previous prime is 464928757. The next prime is 464928769. The reversal of 464928768 is 867829464.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (464928769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441843 + ... + 442893.

Almost surely, 2^464928768 is an apocalyptic number.

464928768 is a gapful number since it is divisible by the number (48) 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 464928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689417680).

464928768 is an abundant number, since it is smaller than the sum of its proper divisors (913906592).

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

464928768 is an equidigital number, since it uses as much as digits as its factorization.

464928768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1056 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 464928768 is about 21562.2069371389. The cubic root of 464928768 is about 774.6915278773.

The spelling of 464928768 in words is "four hundred sixty-four million, nine hundred twenty-eight thousand, seven hundred sixty-eight".