893472 has 48 divisors (see below), whose sum is σ = 2413152. Its totient is φ = 289280.

The previous prime is 893449. The next prime is 893479. The reversal of 893472 is 274398.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3823 + ... + 4049.

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

2⁸⁹³⁴⁷² is an apocalyptic number.

893472 is a gapful number since it is divisible by the number (82) 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 893472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206576).

893472 is an abundant number, since it is smaller than the sum of its proper divisors (1519680).

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

893472 is a wasteful number, since it uses less digits than its factorization.

893472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 893472 is about 945.2364783481. The cubic root of 893472 is about 96.3149379061.

The spelling of 893472 in words is "eight hundred ninety-three thousand, four hundred seventy-two".