10245488400 has 405 divisors, whose sum is σ = 41531866623. Its totient is φ = 2332108800.

The previous prime is 10245488339. The next prime is 10245488411. The reversal of 10245488400 is 488454201.

The square root of 10245488400 is 101220.

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

10245488400 is a `hidden beast` number, since 1 + 0 + 245 + 4 + 8 + 8 + 400 = 666.

10245488400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 152473104 + 10093015296 = 12348^2 + 100464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 80 ways as a sum of consecutive naturals, for example, 42512280 + ... + 42512520.

Almost surely, 2^10245488400 is an apocalyptic number.

10245488400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10245488400 is the 101220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10245488400

10245488400 is an abundant number, since it is smaller than the sum of its proper divisors (31286378223).

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

10245488400 is a wasteful number, since it uses less digits than its factorization.

10245488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Multiplying 10245488400 by its sum of digits (36), we get a square (368837582400 = 607320²).

10245488400 divided by its sum of digits (36) gives a square (284596900 = 16870²).

The spelling of 10245488400 in words is "ten billion, two hundred forty-five million, four hundred eighty-eight thousand, four hundred".