1258300416 has 176 divisors, whose sum is σ = 3528831488. Its totient is φ = 398131200.

The previous prime is 1258300409. The next prime is 1258300429. The reversal of 1258300416 is 6140038521.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6951846 + ... + 6952026.

Almost surely, 2^1258300416 is an apocalyptic number.

1258300416 is a gapful number since it is divisible by the number (16) 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 1258300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764415744).

1258300416 is an abundant number, since it is smaller than the sum of its proper divisors (2270531072).

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

1258300416 is a wasteful number, since it uses less digits than its factorization.

1258300416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1258300416 is about 35472.5304425833. The cubic root of 1258300416 is about 1079.5964473069.

Adding to 1258300416 its reverse (6140038521), we get a palindrome (7398338937).

The spelling of 1258300416 in words is "one billion, two hundred fifty-eight million, three hundred thousand, four hundred sixteen".