1258431930 has 128 divisors (see below), whose sum is σ = 3860559360. Its totient is φ = 285742080.

The previous prime is 1258431899. The next prime is 1258431961. The reversal of 1258431930 is 391348521.

1258431930 is a `hidden beast` number, since 12 + 584 + 31 + 9 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (1258431899) and next prime (1258431961).

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 63 ways as a sum of consecutive naturals, for example, 294610 + ... + 298850.

It is an arithmetic number, because the mean of its divisors is an integer number (30160620).

Almost surely, 2^1258431930 is an apocalyptic number.

1258431930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1258431930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930279680).

1258431930 is an abundant number, since it is smaller than the sum of its proper divisors (2602127430).

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

1258431930 is a wasteful number, since it uses less digits than its factorization.

1258431930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1258431930 is about 35474.3841384174. The cubic root of 1258431930 is about 1079.6340581188.

The spelling of 1258431930 in words is "one billion, two hundred fifty-eight million, four hundred thirty-one thousand, nine hundred thirty".