245454262320400 has 405 divisors, whose sum is σ = 701182440326127. Its totient is φ = 82330606579200.

The previous prime is 245454262320343. The next prime is 245454262320403. The reversal of 245454262320400 is 4023262454542.

The square root of 245454262320400 is 15666980.

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 150207280904464 + 95246981415936 = 12255908^2 + 9759456^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (245454262320403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 103088727210 + ... + 103088729590.

Almost surely, 2^{245454262320400} is an apocalyptic number.

245454262320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

245454262320400 is the 15666980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245454262320400

245454262320400 is an abundant number, since it is smaller than the sum of its proper divisors (455728178005727).

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

245454262320400 is an frugal number, since it uses more digits than its factorization.

245454262320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 43.

The spelling of 245454262320400 in words is "two hundred forty-five trillion, four hundred fifty-four billion, two hundred sixty-two million, three hundred twenty thousand, four hundred".