246085444900 has 81 divisors (see below), whose sum is σ = 540003016371. Its totient is φ = 97340839680.

The previous prime is 246085444877. The next prime is 246085444901. The reversal of 246085444900 is 9444580642.

The square root of 246085444900 is 496070.

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 125198499556 + 120886945344 = 353834^2 + 347688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (246085444901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 560558881 + ... + 560559319.

Almost surely, 2^246085444900 is an apocalyptic number.

246085444900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

246085444900 is the 496070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 246085444900

246085444900 is an abundant number, since it is smaller than the sum of its proper divisors (293917571471).

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

246085444900 is an equidigital number, since it uses as much as digits as its factorization.

246085444900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 246085444900 in words is "two hundred forty-six billion, eighty-five million, four hundred forty-four thousand, nine hundred".