4648464 has 60 divisors (see below), whose sum is σ = 13702000. Its totient is φ = 1467072.

The previous prime is 4648459. The next prime is 4648477.

4648464 is a `hidden beast` number, since 4 + 648 + 4 + 6 + 4 = 666.

4648464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1887 + ... + 3585.

Almost surely, 2^4648464 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 4648464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851000).

4648464 is an abundant number, since it is smaller than the sum of its proper divisors (9053536).

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

4648464 is a wasteful number, since it uses less digits than its factorization.

4648464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1723 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 4648464 is about 2156.0296843968. The cubic root of 4648464 is about 166.8923733122.

The spelling of 4648464 in words is "four million, six hundred forty-eight thousand, four hundred sixty-four".