4468500 has 96 divisors (see below), whose sum is σ = 14501760. Its totient is φ = 1188000.

The previous prime is 4468493. The next prime is 4468537. The reversal of 4468500 is 58644.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13335 + ... + 13665.

It is an arithmetic number, because the mean of its divisors is an integer number (151060).

Almost surely, 2^4468500 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 4468500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250880).

4468500 is an abundant number, since it is smaller than the sum of its proper divisors (10033260).

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

4468500 is a wasteful number, since it uses less digits than its factorization.

4468500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4468500 is about 2113.8826835943. The cubic root of 4468500 is about 164.7102352291.

The spelling of 4468500 in words is "four million, four hundred sixty-eight thousand, five hundred".