283172960 has 144 divisors (see below), whose sum is σ = 819609840. Its totient is φ = 91929600.

The previous prime is 283172947. The next prime is 283172963. The reversal of 283172960 is 69271382.

283172960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283172963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148010 + ... + 149910.

It is an arithmetic number, because the mean of its divisors is an integer number (5691735).

Almost surely, 2^283172960 is an apocalyptic number.

283172960 is a gapful number since it is divisible by the number (20) 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 283172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409804920).

283172960 is an abundant number, since it is smaller than the sum of its proper divisors (536436880).

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

283172960 is a wasteful number, since it uses less digits than its factorization.

283172960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 283172960 is about 16827.7437584484. The cubic root of 283172960 is about 656.6751674485.

The spelling of 283172960 in words is "two hundred eighty-three million, one hundred seventy-two thousand, nine hundred sixty".