904992 has 48 divisors (see below), whose sum is σ = 2594592. Its totient is φ = 273920.

The previous prime is 904987. The next prime is 904997. The reversal of 904992 is 299409.

It is a happy number.

904992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (904987) and next prime (904997).

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 (33).

It is not an unprimeable number, because it can be changed into a prime (904997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628 + ... + 1484.

It is an arithmetic number, because the mean of its divisors is an integer number (54054).

2⁹⁰⁴⁹⁹² 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 904992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297296).

904992 is an abundant number, since it is smaller than the sum of its proper divisors (1689600).

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

904992 is a wasteful number, since it uses less digits than its factorization.

904992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 904992 is about 951.3106748061. The cubic root of 904992 is about 96.7271176915.

The spelling of 904992 in words is "nine hundred four thousand, nine hundred ninety-two".