854400 has 96 divisors (see below), whose sum is σ = 2845800. Its totient is φ = 225280.

The previous prime is 854387. The next prime is 854407. The reversal of 854400 is 4458.

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854407) by changing a digit.

854400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9556 + ... + 9644.

2⁸⁵⁴⁴⁰⁰ is an apocalyptic number.

854400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

854400 is the 534-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422900).

854400 is an abundant number, since it is smaller than the sum of its proper divisors (1991400).

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

854400 is a wasteful number, since it uses less digits than its factorization.

854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 854400 is about 924.3376006633. The cubic root of 854400 is about 94.8899927008.

Adding to 854400 its reverse (4458), we get a palindrome (858858).

The spelling of 854400 in words is "eight hundred fifty-four thousand, four hundred".