291416428900 has 81 divisors (see below), whose sum is σ = 650372519979. Its totient is φ = 113338388160.

The previous prime is 291416428873. The next prime is 291416428903. The reversal of 291416428900 is 9824614192.

The square root of 291416428900 is 539830.

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 27664338276 + 263752090624 = 166326^2 + 513568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (291416428903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 199736371 + ... + 199737829.

Almost surely, 2^291416428900 is an apocalyptic number.

291416428900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

291416428900 is the 539830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 291416428900

291416428900 is an abundant number, since it is smaller than the sum of its proper divisors (358956091079).

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

291416428900 is an equidigital number, since it uses as much as digits as its factorization.

291416428900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 291416428900 in words is "two hundred ninety-one billion, four hundred sixteen million, four hundred twenty-eight thousand, nine hundred".