409676803600 has 45 divisors (see below), whose sum is σ = 984279276493. Its totient is φ = 163865600960.

The previous prime is 409676803559. The next prime is 409676803609. The reversal of 409676803600 is 6308676904.

The square root of 409676803600 is 640060.

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

It can be written as a sum of positive squares in only one way, i.e., 147483649296 + 262193154304 = 384036^2 + 512048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409676803609) 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, 12785199 + ... + 12817201.

Almost surely, 2^409676803600 is an apocalyptic number.

409676803600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

409676803600 is the 640060-th square number.

It is an amenable number.

409676803600 is an abundant number, since it is smaller than the sum of its proper divisors (574602472893).

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

409676803600 is an frugal number, since it uses more digits than its factorization.

409676803600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64024 (or 32010 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 409676803600 by its sum of digits (49), we get a square (20074163376400 = 4480420²).

It can be divided in two parts, 4096 and 76803600, that added together give a square (76807696 = 8764²).

The spelling of 409676803600 in words is "four hundred nine billion, six hundred seventy-six million, eight hundred three thousand, six hundred".