464683648 has 128 divisors (see below), whose sum is σ = 1110412800. Its totient is φ = 190894080.

The previous prime is 464683619. The next prime is 464683691. The reversal of 464683648 is 846386464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 969873 + ... + 970351.

It is an arithmetic number, because the mean of its divisors is an integer number (8675100).

Almost surely, 2^464683648 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 464683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555206400).

464683648 is an abundant number, since it is smaller than the sum of its proper divisors (645729152).

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

464683648 is a wasteful number, since it uses less digits than its factorization.

464683648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 558 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 49.

The square root of 464683648 is about 21556.5221684761. The cubic root of 464683648 is about 774.5553595135. Note that the first 3 decimals are identical.

The spelling of 464683648 in words is "four hundred sixty-four million, six hundred eighty-three thousand, six hundred forty-eight".