283550400 has 504 divisors, whose sum is σ = 1203777120. Its totient is φ = 61931520.

The previous prime is 283550381. The next prime is 283550411. The reversal of 283550400 is 4055382.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 2923152 + ... + 2923248.

Almost surely, 2^283550400 is an apocalyptic number.

283550400 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 283550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601888560).

283550400 is an abundant number, since it is smaller than the sum of its proper divisors (920226720).

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

283550400 is a wasteful number, since it uses less digits than its factorization.

283550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 283550400 is about 16838.9548369250. The cubic root of 283550400 is about 656.9667977355.

It can be divided in two parts, 2835 and 50400, that added together give a palindrome (53235).

The spelling of 283550400 in words is "two hundred eighty-three million, five hundred fifty thousand, four hundred".