464688448 has 56 divisors (see below), whose sum is σ = 1066629312. Its totient is φ = 196737024.

The previous prime is 464688437. The next prime is 464688467. The reversal of 464688448 is 844886464.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 464688395 and 464688404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30936 + ... + 43432.

It is an arithmetic number, because the mean of its divisors is an integer number (19046952).

Almost surely, 2^464688448 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 464688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533314656).

464688448 is an abundant number, since it is smaller than the sum of its proper divisors (601940864).

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

464688448 is a wasteful number, since it uses less digits than its factorization.

464688448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12599 (or 12589 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 52.

The square root of 464688448 is about 21556.6335034021. The cubic root of 464688448 is about 774.5580264554.

The spelling of 464688448 in words is "four hundred sixty-four million, six hundred eighty-eight thousand, four hundred forty-eight".