1473864 has 64 divisors (see below), whose sum is σ = 4362240. Its totient is φ = 406080.

The previous prime is 1473853. The next prime is 1473869. The reversal of 1473864 is 4683741.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1473869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5067 + ... + 5349.

It is an arithmetic number, because the mean of its divisors is an integer number (68160).

2^1473864 is an apocalyptic number.

1473864 is a gapful number since it is divisible by the number (14) 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 1473864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181120).

1473864 is an abundant number, since it is smaller than the sum of its proper divisors (2888376).

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

1473864 is a wasteful number, since it uses less digits than its factorization.

1473864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 1473864 is about 1214.0280062667. The cubic root of 1473864 is about 113.8026749556.

The spelling of 1473864 in words is "one million, four hundred seventy-three thousand, eight hundred sixty-four".