283424205376 has 63 divisors (see below), whose sum is σ = 609129899721. Its totient is φ = 130785617664.

The previous prime is 283424205359. The next prime is 283424205403. The reversal of 283424205376 is 673502424382.

It is a happy number.

The square root of 283424205376 is 532376.

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., 41926657600 + 241497547776 = 204760^2 + 491424^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 55364545 + ... + 55369663.

It is an arithmetic number, because the mean of its divisors is an integer number (9668728567).

Almost surely, 2^283424205376 is an apocalyptic number.

283424205376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

283424205376 is the 532376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283424205376

283424205376 is an abundant number, since it is smaller than the sum of its proper divisors (325705694345).

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

283424205376 is an frugal number, since it uses more digits than its factorization.

283424205376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10276 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The spelling of 283424205376 in words is "two hundred eighty-three billion, four hundred twenty-four million, two hundred five thousand, three hundred seventy-six".