953472 has 64 divisors (see below), whose sum is σ = 2741760. Its totient is φ = 291840.

The previous prime is 953443. The next prime is 953473. The reversal of 953472 is 274359.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 9⁵ + 5⁵ + 4⁸ + 3⁷ + 7⁷ + 2⁵ .

It is not an unprimeable number, because it can be changed into a prime (953473) by changing a digit.

953472 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, 4897 + ... + 5087.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

2⁹⁵³⁴⁷² 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 953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370880).

953472 is an abundant number, since it is smaller than the sum of its proper divisors (1788288).

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

953472 is a wasteful number, since it uses less digits than its factorization.

953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 953472 is about 976.4589085056. The cubic root of 953472 is about 98.4243709877.

The spelling of 953472 in words is "nine hundred fifty-three thousand, four hundred seventy-two".