853808400 has 135 divisors (see below), whose sum is σ = 2969048901. Its totient is φ = 227214720.

The previous prime is 853808393. The next prime is 853808443. The reversal of 853808400 is 4808358.

The square root of 853808400 is 29220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 307371024 + 546437376 = 17532^2 + 23376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1752957 + ... + 1753443.

Almost surely, 2^853808400 is an apocalyptic number.

853808400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

853808400 is the 29220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853808400

853808400 is an abundant number, since it is smaller than the sum of its proper divisors (2115240501).

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

853808400 is a wasteful number, since it uses less digits than its factorization.

853808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The cubic root of 853808400 is about 948.6808653608.

Multiplying 853808400 by its sum of digits (36), we get a square (30737102400 = 175320²).

853808400 divided by its sum of digits (36) gives a square (23716900 = 4870²).

The spelling of 853808400 in words is "eight hundred fifty-three million, eight hundred eight thousand, four hundred".