1258480840 has 16 divisors (see below), whose sum is σ = 2831581980. Its totient is φ = 503392320.

The previous prime is 1258480829. The next prime is 1258480843. The reversal of 1258480840 is 480848521.

It can be written as a sum of positive squares in 2 ways, for example, as 1217032996 + 41447844 = 34886^2 + 6438^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 31462021 = 1258480840 / (1 + 2 + 5 + 8 + 4 + 8 + 0 + 8 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1258480793 and 1258480802.

It is not an unprimeable number, because it can be changed into a prime (1258480843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15730971 + ... + 15731050.

Almost surely, 2^1258480840 is an apocalyptic number.

1258480840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1258480840 is an abundant number, since it is smaller than the sum of its proper divisors (1573101140).

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

1258480840 is a wasteful number, since it uses less digits than its factorization.

1258480840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31462032 (or 31462028 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 1258480840 is about 35475.0735023904. The cubic root of 1258480840 is about 1079.6480448951.

The spelling of 1258480840 in words is "one billion, two hundred fifty-eight million, four hundred eighty thousand, eight hundred forty".