4464864 has 72 divisors (see below), whose sum is σ = 13071240. Its totient is φ = 1444608.

The previous prime is 4464857. The next prime is 4464877. The reversal of 4464864 is 4684644.

4464864 is a `hidden beast` number, since 4 + 4 + 648 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 congruent number.

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, 10447 + ... + 10865.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 2^4464864 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 4464864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535620).

4464864 is an abundant number, since it is smaller than the sum of its proper divisors (8606376).

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

4464864 is a wasteful number, since it uses less digits than its factorization.

4464864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

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

The square root of 4464864 is about 2113.0224797668. The cubic root of 4464864 is about 164.6655484270.

The spelling of 4464864 in words is "four million, four hundred sixty-four thousand, eight hundred sixty-four".