464943648 has 96 divisors (see below), whose sum is σ = 1327487616. Its totient is φ = 141631488.

The previous prime is 464943637. The next prime is 464943679. The reversal of 464943648 is 846349464.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 464943597 and 464943606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126736 + ... + 130352.

It is an arithmetic number, because the mean of its divisors is an integer number (13827996).

Almost surely, 2^464943648 is an apocalyptic number.

464943648 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 464943648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663743808).

464943648 is an abundant number, since it is smaller than the sum of its proper divisors (862543968).

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

464943648 is a wasteful number, since it uses less digits than its factorization.

464943648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3738 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The square root of 464943648 is about 21562.5519825460. The cubic root of 464943648 is about 774.6997924314.

The spelling of 464943648 in words is "four hundred sixty-four million, nine hundred forty-three thousand, six hundred forty-eight".