285296993424 has 225 divisors, whose sum is σ = 850774141371. Its totient is φ = 92298009600.

The previous prime is 285296993417. The next prime is 285296993467. The reversal of 285296993424 is 424399692582.

The square root of 285296993424 is 534132.

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

285296993424 is a `hidden beast` number, since 2 + 8 + 529 + 69 + 9 + 3 + 42 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 235671411600 + 49625581824 = 485460^2 + 222768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 711463624 + ... + 711464024.

Almost surely, 2^285296993424 is an apocalyptic number.

285296993424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

285296993424 is the 534132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285296993424

285296993424 is an abundant number, since it is smaller than the sum of its proper divisors (565477147947).

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

285296993424 is an frugal number, since it uses more digits than its factorization.

285296993424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 443 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 285296993424 in words is "two hundred eighty-five billion, two hundred ninety-six million, nine hundred ninety-three thousand, four hundred twenty-four".