920484 has 36 divisors (see below), whose sum is σ = 2415504. Its totient is φ = 306504.

The previous prime is 920477. The next prime is 920497. The reversal of 920484 is 484029.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 920484.

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, 499 + ... + 1445.

2⁹²⁰⁴⁸⁴ 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 920484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207752).

920484 is an abundant number, since it is smaller than the sum of its proper divisors (1495020).

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

920484 is a wasteful number, since it uses less digits than its factorization.

920484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 920484 is about 959.4185739290. The cubic root of 920484 is about 97.2759351750.

The spelling of 920484 in words is "nine hundred twenty thousand, four hundred eighty-four".