854454432 has 96 divisors (see below), whose sum is σ = 2474539200. Its totient is φ = 256481280.

The previous prime is 854454427. The next prime is 854454467. The reversal of 854454432 is 234454458.

854454432 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 Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42819 + ... + 59517.

It is an arithmetic number, because the mean of its divisors is an integer number (25776450).

Almost surely, 2^854454432 is an apocalyptic number.

854454432 is a gapful number since it is divisible by the number (82) 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 854454432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237269600).

854454432 is an abundant number, since it is smaller than the sum of its proper divisors (1620084768).

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

854454432 is a wasteful number, since it uses less digits than its factorization.

854454432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16766 (or 16758 counting only the distinct ones).

The product of its digits is 307200, while the sum is 39.

The square root of 854454432 is about 29231.0525298012. The cubic root of 854454432 is about 948.9200773761.

The spelling of 854454432 in words is "eight hundred fifty-four million, four hundred fifty-four thousand, four hundred thirty-two".