905472 has 72 divisors (see below), whose sum is σ = 2698080. Its totient is φ = 299520.

The previous prime is 905461. The next prime is 905477. The reversal of 905472 is 274509.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (905477) by changing a digit.

905472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 6847 + ... + 6977.

2⁹⁰⁵⁴⁷² 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 905472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349040).

905472 is an abundant number, since it is smaller than the sum of its proper divisors (1792608).

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

905472 is a wasteful number, since it uses less digits than its factorization.

905472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 905472 is about 951.5629248768. The cubic root of 905472 is about 96.7442157470.

The spelling of 905472 in words is "nine hundred five thousand, four hundred seventy-two".