1258278840 has 768 divisors, whose sum is σ = 5515776000. Its totient is φ = 252564480.

The previous prime is 1258278839. The next prime is 1258278911. The reversal of 1258278840 is 488728521.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21326731 + ... + 21326789.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^1258278840 is an apocalyptic number.

1258278840 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 1258278840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888000).

1258278840 is an abundant number, since it is smaller than the sum of its proper divisors (4257497160).

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

1258278840 is a wasteful number, since it uses less digits than its factorization.

1258278840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1258278840 is about 35472.2263186285. The cubic root of 1258278840 is about 1079.5902766803.

The spelling of 1258278840 in words is "one billion, two hundred fifty-eight million, two hundred seventy-eight thousand, eight hundred forty".