1258774020 has 288 divisors, whose sum is σ = 4573191168. Its totient is φ = 284694912.

The previous prime is 1258774007. The next prime is 1258774037. The reversal of 1258774020 is 204778521.

1258774020 is a `hidden beast` number, since 1 + 2 + 587 + 74 + 0 + 2 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 5545147 + ... + 5545373.

It is an arithmetic number, because the mean of its divisors is an integer number (15879136).

Almost surely, 2^1258774020 is an apocalyptic number.

1258774020 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 1258774020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286595584).

1258774020 is an abundant number, since it is smaller than the sum of its proper divisors (3314417148).

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

1258774020 is a wasteful number, since it uses less digits than its factorization.

1258774020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 1258774020 is about 35479.2054589727. The cubic root of 1258774020 is about 1079.7318778856.

The spelling of 1258774020 in words is "one billion, two hundred fifty-eight million, seven hundred seventy-four thousand, twenty".