900384 has 48 divisors (see below), whose sum is σ = 2413152. Its totient is φ = 293888.

The previous prime is 900349. The next prime is 900397. The reversal of 900384 is 483009.

900384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

900384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7912 + ... + 8024.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

2⁹⁰⁰³⁸⁴ 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 900384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206576).

900384 is an abundant number, since it is smaller than the sum of its proper divisors (1512768).

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

900384 is a wasteful number, since it uses less digits than its factorization.

900384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 900384 is about 948.8856622376. The cubic root of 900384 is about 96.5626679127.

The spelling of 900384 in words is "nine hundred thousand, three hundred eighty-four".