854413200 has 360 divisors, whose sum is σ = 3281361408. Its totient is φ = 204779520.

The previous prime is 854413199. The next prime is 854413211. The reversal of 854413200 is 2314458.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1407297 + ... + 1407903.

Almost surely, 2^854413200 is an apocalyptic number.

854413200 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 854413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640680704).

854413200 is an abundant number, since it is smaller than the sum of its proper divisors (2426948208).

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

854413200 is a wasteful number, since it uses less digits than its factorization.

854413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 854413200 is about 29230.3472439176. The cubic root of 854413200 is about 948.9048136396.

Adding to 854413200 its reverse (2314458), we get a palindrome (856727658).

The spelling of 854413200 in words is "eight hundred fifty-four million, four hundred thirteen thousand, two hundred".