244164456900 has 729 divisors, whose sum is σ = 969375809493. Its totient is φ = 51231398400.

The previous prime is 244164456871. The next prime is 244164456917. The reversal of 244164456900 is 9654461442.

The square root of 244164456900 is 494130.

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

244164456900 is a `hidden beast` number, since 2 + 4 + 41 + 6 + 44 + 569 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 202224693636 + 41939763264 = 449694^2 + 204792^2 .

It is a super-2 number, since 2×244164456900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1348974810 + ... + 1348974990.

Almost surely, 2^244164456900 is an apocalyptic number.

244164456900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

244164456900 is the 494130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244164456900

244164456900 is an abundant number, since it is smaller than the sum of its proper divisors (725211352593).

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

244164456900 is a wasteful number, since it uses less digits than its factorization.

244164456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 244164456900 in words is "two hundred forty-four billion, one hundred sixty-four million, four hundred fifty-six thousand, nine hundred".