283534950400 has 243 divisors, whose sum is σ = 761417165271. Its totient is φ = 104689827840.

The previous prime is 283534950371. The next prime is 283534950403. The reversal of 283534950400 is 4059435382.

The square root of 283534950400 is 532480.

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

It can be written as a sum of positive squares in 4 ways, for example, as 73081552896 + 210453397504 = 270336^2 + 458752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (283534950403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21810380794 + ... + 21810380806.

Almost surely, 2^283534950400 is an apocalyptic number.

283534950400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

283534950400 is the 532480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283534950400

283534950400 is an abundant number, since it is smaller than the sum of its proper divisors (477882214871).

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

283534950400 is an frugal number, since it uses more digits than its factorization.

283534950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 283534950400 in words is "two hundred eighty-three billion, five hundred thirty-four million, nine hundred fifty thousand, four hundred".