1258798320 has 480 divisors, whose sum is σ = 5016053952. Its totient is φ = 290635776.

The previous prime is 1258798291. The next prime is 1258798327. The reversal of 1258798320 is 238978521.

It is a happy number.

1258798320 is a `hidden beast` number, since 1 + 258 + 79 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258798327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4296094 + ... + 4296386.

Almost surely, 2^1258798320 is an apocalyptic number.

1258798320 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 1258798320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508026976).

1258798320 is an abundant number, since it is smaller than the sum of its proper divisors (3757255632).

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

1258798320 is a wasteful number, since it uses less digits than its factorization.

1258798320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1258798320 is about 35479.5479114377. The cubic root of 1258798320 is about 1079.7388257347.

The spelling of 1258798320 in words is "one billion, two hundred fifty-eight million, seven hundred ninety-eight thousand, three hundred twenty".