4509384 has 128 divisors (see below), whose sum is σ = 13824000. Its totient is φ = 1209600.

The previous prime is 4509377. The next prime is 4509409. The reversal of 4509384 is 4839054.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 145449 + ... + 145479.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

Almost surely, 2^4509384 is an apocalyptic number.

4509384 is a gapful number since it is divisible by the number (44) 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 4509384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912000).

4509384 is an abundant number, since it is smaller than the sum of its proper divisors (9314616).

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

4509384 is a wasteful number, since it uses less digits than its factorization.

4509384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4509384 is about 2123.5310216712. The cubic root of 4509384 is about 165.2110430818.

The spelling of 4509384 in words is "four million, five hundred nine thousand, three hundred eighty-four".