8645280400 has 45 divisors (see below), whose sum is σ = 20774754811. Its totient is φ = 3457368320.

The previous prime is 8645280389. The next prime is 8645280401. The reversal of 8645280400 is 40825468.

The square root of 8645280400 is 92980.

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 1963198864 + 6682081536 = 44308^2 + 81744^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8645280400.

It is not an unprimeable number, because it can be changed into a prime (8645280401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1857276 + ... + 1861924.

Almost surely, 2^8645280400 is an apocalyptic number.

8645280400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8645280400 is the 92980-th square number.

It is an amenable number.

8645280400 is an abundant number, since it is smaller than the sum of its proper divisors (12129474411).

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

8645280400 is an frugal number, since it uses more digits than its factorization.

8645280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9316 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The cubic root of 8645280400 is about 2052.3890766676.

The spelling of 8645280400 in words is "eight billion, six hundred forty-five million, two hundred eighty thousand, four hundred".