285080400 has 360 divisors, whose sum is σ = 1129766976. Its totient is φ = 65894400.

The previous prime is 285080363. The next prime is 285080417. The reversal of 285080400 is 4080582.

285080400 is digitally balanced in base 3, 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 (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 910644 + ... + 910956.

Almost surely, 2^285080400 is an apocalyptic number.

285080400 is a gapful number since it is divisible by the number (20) 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 285080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564883488).

285080400 is an abundant number, since it is smaller than the sum of its proper divisors (844686576).

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

285080400 is a wasteful number, since it uses less digits than its factorization.

285080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 285080400 is about 16884.3240907061. The cubic root of 285080400 is about 658.1463137336.

The spelling of 285080400 in words is "two hundred eighty-five million, eighty thousand, four hundred".