1258682880 has 320 divisors, whose sum is σ = 4955182848. Its totient is φ = 265420800.

The previous prime is 1258682879. The next prime is 1258682881. The reversal of 1258682880 is 882868521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1258682879) and next prime (1258682881).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1258682881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697980 + ... + 699780.

Almost surely, 2^1258682880 is an apocalyptic number.

1258682880 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 1258682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477591424).

1258682880 is an abundant number, since it is smaller than the sum of its proper divisors (3696499968).

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

1258682880 is a wasteful number, since it uses less digits than its factorization.

1258682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The square root of 1258682880 is about 35477.9210213902. The cubic root of 1258682880 is about 1079.7058183661.

The spelling of 1258682880 in words is "one billion, two hundred fifty-eight million, six hundred eighty-two thousand, eight hundred eighty".