1258480650 has 288 divisors, whose sum is σ = 3938033664. Its totient is φ = 259776000.

The previous prime is 1258480649. The next prime is 1258480669. The reversal of 1258480650 is 560848521.

It is a junction number, because it is equal to n+sod(n) for n = 1258480599 and 1258480608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30694630 + ... + 30694670.

It is an arithmetic number, because the mean of its divisors is an integer number (13673728).

Almost surely, 2^1258480650 is an apocalyptic number.

1258480650 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 1258480650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969016832).

1258480650 is an abundant number, since it is smaller than the sum of its proper divisors (2679553014).

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

1258480650 is a wasteful number, since it uses less digits than its factorization.

1258480650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 1258480650 is about 35475.0708244536. The cubic root of 1258480650 is about 1079.6479905616.

The spelling of 1258480650 in words is "one billion, two hundred fifty-eight million, four hundred eighty thousand, six hundred fifty".