249472 has 16 divisors (see below), whose sum is σ = 497250. Its totient is φ = 124672.

The previous prime is 249463. The next prime is 249497. The reversal of 249472 is 274942.

It can be written as a sum of positive squares in only one way, i.e., 179776 + 69696 = 424^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a d-powerful number, because it can be written as 2 + 4 + 4² + 9³ + 7⁶ + 2¹⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 249472.

It is an unprimeable number.

249472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 847 + ... + 1102.

2²⁴⁹⁴⁷² is an apocalyptic number.

It is an amenable number.

249472 is a deficient number, since it is larger than the sum of its proper divisors (247778).

249472 is an equidigital number, since it uses as much as digits as its factorization.

249472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1951 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 249472 is about 499.4717209212. The cubic root of 249472 is about 62.9516720153.

It can be divided in two parts, 24947 and 2, that multiplied together give a palindrome (49894).

The spelling of 249472 in words is "two hundred forty-nine thousand, four hundred seventy-two".