258222720 has 128 divisors (see below), whose sum is σ = 940717440. Its totient is φ = 59019264.

The previous prime is 258222703. The next prime is 258222721. The reversal of 258222720 is 27222852.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (258222721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3834 + ... + 23046.

It is an arithmetic number, because the mean of its divisors is an integer number (7349355).

Almost surely, 2^258222720 is an apocalyptic number.

258222720 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 258222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470358720).

258222720 is an abundant number, since it is smaller than the sum of its proper divisors (682494720).

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

258222720 is a wasteful number, since it uses less digits than its factorization.

258222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19242 (or 19230 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 258222720 is about 16069.3098793943. The cubic root of 258222720 is about 636.7928090229.

The spelling of 258222720 in words is "two hundred fifty-eight million, two hundred twenty-two thousand, seven hundred twenty".