245797808400 has 135 divisors (see below), whose sum is σ = 853089914469. Its totient is φ = 65538149760.

The previous prime is 245797808381. The next prime is 245797808441. The reversal of 245797808400 is 4808797542.

It is a happy number.

The square root of 245797808400 is 495780.

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

245797808400 is a `hidden beast` number, since 24 + 57 + 97 + 80 + 8 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88487211024 + 157310597376 = 297468^2 + 396624^2 .

It is a super-2 number, since 2×245797808400² (a number of 24 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 29742669 + ... + 29750931.

Almost surely, 2^245797808400 is an apocalyptic number.

245797808400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

245797808400 is the 495780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245797808400

245797808400 is an abundant number, since it is smaller than the sum of its proper divisors (607292106069).

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

245797808400 is an frugal number, since it uses more digits than its factorization.

245797808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16550 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 245797808400 in words is "two hundred forty-five billion, seven hundred ninety-seven million, eight hundred eight thousand, four hundred".