856653480 has 96 divisors (see below), whose sum is σ = 2815511400. Its totient is φ = 225865728.

The previous prime is 856653451. The next prime is 856653503. The reversal of 856653480 is 84356658.

856653480 is a `hidden beast` number, since 8 + 566 + 5 + 3 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 629307396 + 227346084 = 25086^2 + 15078^2 .

It is a super-2 number, since 2×856653480² = 1467710369592220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 18672 + ... + 45408.

Almost surely, 2^856653480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856653480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407755700).

856653480 is an abundant number, since it is smaller than the sum of its proper divisors (1958857920).

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

856653480 is a wasteful number, since it uses less digits than its factorization.

856653480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26843 (or 26836 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 856653480 is about 29268.6432893634. The cubic root of 856653480 is about 949.7334358294.

The spelling of 856653480 in words is "eight hundred fifty-six million, six hundred fifty-three thousand, four hundred eighty".