868260480 has 128 divisors (see below), whose sum is σ = 2913364800. Its totient is φ = 219340800.

The previous prime is 868260451. The next prime is 868260509. The reversal of 868260480 is 84062868.

It is an interprime number because it is at equal distance from previous prime (868260451) and next prime (868260509).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×868260480² = 1507752522259660800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 24580 + ... + 48380.

Almost surely, 2^868260480 is an apocalyptic number.

868260480 is a gapful number since it is divisible by the number (80) 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 868260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456682400).

868260480 is an abundant number, since it is smaller than the sum of its proper divisors (2045104320).

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

868260480 is a wasteful number, since it uses less digits than its factorization.

868260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23842 (or 23830 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 868260480 is about 29466.2600273601. The cubic root of 868260480 is about 954.0035951326.

The spelling of 868260480 in words is "eight hundred sixty-eight million, two hundred sixty thousand, four hundred eighty".