288453972 has 96 divisors (see below), whose sum is σ = 729630720. Its totient is φ = 88421760.

The previous prime is 288453959. The next prime is 288453989. The reversal of 288453972 is 279354882.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1667278 + ... + 1667450.

It is an arithmetic number, because the mean of its divisors is an integer number (7600320).

Almost surely, 2^288453972 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 288453972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364815360).

288453972 is an abundant number, since it is smaller than the sum of its proper divisors (441176748).

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

288453972 is a wasteful number, since it uses less digits than its factorization.

288453972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 288453972 is about 16983.9327601118. The cubic root of 288453972 is about 660.7322543148.

The spelling of 288453972 in words is "two hundred eighty-eight million, four hundred fifty-three thousand, nine hundred seventy-two".