1258862220 has 432 divisors, whose sum is σ = 5019356160. Its totient is φ = 249511680.

The previous prime is 1258862207. The next prime is 1258862221. The reversal of 1258862220 is 222688521.

1258862220 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 8 + 622 + 20 = 666.

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 (1258862221) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 3506401 + ... + 3506759.

It is an arithmetic number, because the mean of its divisors is an integer number (11618880).

Almost surely, 2^1258862220 is an apocalyptic number.

1258862220 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 1258862220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509678080).

1258862220 is an abundant number, since it is smaller than the sum of its proper divisors (3760493940).

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

1258862220 is a wasteful number, since it uses less digits than its factorization.

1258862220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 410 counting only the distinct ones).

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

The square root of 1258862220 is about 35480.4484188123. The cubic root of 1258862220 is about 1079.7570955779.

The spelling of 1258862220 in words is "one billion, two hundred fifty-eight million, eight hundred sixty-two thousand, two hundred twenty".