409433616900 has 729 divisors, whose sum is σ = 1646871779007. Its totient is φ = 84769977600.

The previous prime is 409433616847. The next prime is 409433616923. The reversal of 409433616900 is 9616334904.

The square root of 409433616900 is 639870.

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 93823365636 + 315610251264 = 306306^2 + 561792^2 .

It is a super-2 number, since 2×409433616900² (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, 1478099562 + ... + 1478099838.

Almost surely, 2^409433616900 is an apocalyptic number.

409433616900 is the 639870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409433616900

409433616900 is an abundant number, since it is smaller than the sum of its proper divisors (1237438162107).

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

409433616900 is a wasteful number, since it uses less digits than its factorization.

409433616900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 409433616900 in words is "four hundred nine billion, four hundred thirty-three million, six hundred sixteen thousand, nine hundred".