855240480 has 144 divisors (see below), whose sum is σ = 2932183800. Its totient is φ = 226996224.

The previous prime is 855240469. The next prime is 855240527. The reversal of 855240480 is 84042558.

It can be written as a sum of positive squares in 4 ways, for example, as 743980176 + 111260304 = 27276^2 + 10548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334246 + ... + 336794.

Almost surely, 2^855240480 is an apocalyptic number.

855240480 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 855240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466091900).

855240480 is an abundant number, since it is smaller than the sum of its proper divisors (2076943320).

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

855240480 is a wasteful number, since it uses less digits than its factorization.

855240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 855240480 is about 29244.4948665557. The cubic root of 855240480 is about 949.2109718115.

The spelling of 855240480 in words is "eight hundred fifty-five million, two hundred forty thousand, four hundred eighty".