1478304 has 96 divisors (see below), whose sum is σ = 4536000. Its totient is φ = 467712.

The previous prime is 1478293. The next prime is 1478353. The reversal of 1478304 is 4038741.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25027 + ... + 25085.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2^1478304 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 1478304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268000).

1478304 is an abundant number, since it is smaller than the sum of its proper divisors (3057696).

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

1478304 is a wasteful number, since it uses less digits than its factorization.

1478304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1478304 is about 1215.8552545431. The cubic root of 1478304 is about 113.9168368541.

The spelling of 1478304 in words is "one million, four hundred seventy-eight thousand, three hundred four".