1258228620 has 192 divisors, whose sum is σ = 4408750080. Its totient is φ = 295142400.

The previous prime is 1258228619. The next prime is 1258228627. The reversal of 1258228620 is 268228521.

1258228620 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 2 + 28 + 620 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1258228627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180724 + ... + 187556.

It is an arithmetic number, because the mean of its divisors is an integer number (22962240).

Almost surely, 2^1258228620 is an apocalyptic number.

1258228620 is a gapful number since it is divisible by the number (10) 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 1258228620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204375040).

1258228620 is an abundant number, since it is smaller than the sum of its proper divisors (3150521460).

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

1258228620 is a wasteful number, since it uses less digits than its factorization.

1258228620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6885 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1258228620 is about 35471.5184338083. The cubic root of 1258228620 is about 1079.5759137417.

Subtracting from 1258228620 its reverse (268228521), we obtain a palindrome (990000099).

The spelling of 1258228620 in words is "one billion, two hundred fifty-eight million, two hundred twenty-eight thousand, six hundred twenty".