1258590372 has 192 divisors, whose sum is σ = 3439188480. Its totient is φ = 355332096.

The previous prime is 1258590353. The next prime is 1258590379. The reversal of 1258590372 is 2730958521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1258590379) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12219273 + ... + 12219375.

It is an arithmetic number, because the mean of its divisors is an integer number (17912440).

Almost surely, 2^1258590372 is an apocalyptic number.

1258590372 is a gapful number since it is divisible by the number (12) 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 1258590372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719594240).

1258590372 is an abundant number, since it is smaller than the sum of its proper divisors (2180598108).

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

1258590372 is a wasteful number, since it uses less digits than its factorization.

1258590372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 1258590372 is about 35476.6172570046. The cubic root of 1258590372 is about 1079.6793664100.

The spelling of 1258590372 in words is "one billion, two hundred fifty-eight million, five hundred ninety thousand, three hundred seventy-two".