464763648 has 72 divisors (see below), whose sum is σ = 1242392256. Its totient is φ = 154240000.

The previous prime is 464763647. The next prime is 464763661. The reversal of 464763648 is 846367464.

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 = 464763597 and 464763606.

It is not an unprimeable number, because it can be changed into a prime (464763643) 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, 191563 + ... + 193973.

It is an arithmetic number, because the mean of its divisors is an integer number (17255448).

Almost surely, 2^464763648 is an apocalyptic number.

464763648 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 464763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621196128).

464763648 is an abundant number, since it is smaller than the sum of its proper divisors (777628608).

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

464763648 is a wasteful number, since it uses less digits than its factorization.

464763648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2667 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The square root of 464763648 is about 21558.3776755117. The cubic root of 464763648 is about 774.5998061483.

The spelling of 464763648 in words is "four hundred sixty-four million, seven hundred sixty-three thousand, six hundred forty-eight".