855093408 has 96 divisors (see below), whose sum is σ = 2423566656. Its totient is φ = 262422528.

The previous prime is 855093403. The next prime is 855093427. The reversal of 855093408 is 804390558.

855093408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 855093408.

It is not an unprimeable number, because it can be changed into a prime (855093401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702016 + ... + 703232.

It is an arithmetic number, because the mean of its divisors is an integer number (25245486).

Almost surely, 2^855093408 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 855093408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211783328).

855093408 is an abundant number, since it is smaller than the sum of its proper divisors (1568473248).

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

855093408 is a wasteful number, since it uses less digits than its factorization.

855093408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 855093408 is about 29241.9802339034. The cubic root of 855093408 is about 949.1565581262.

The spelling of 855093408 in words is "eight hundred fifty-five million, ninety-three thousand, four hundred eight".