416838096900 has 81 divisors (see below), whose sum is σ = 1306616570623. Its totient is φ = 111151660800.

The previous prime is 416838096893. The next prime is 416838096919. The reversal of 416838096900 is 9690838614.

The square root of 416838096900 is 645630.

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 6490235844 + 410347861056 = 80562^2 + 640584^2 .

It is a super-2 number, since 2×416838096900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19358140 + ... + 19379660.

Almost surely, 2^416838096900 is an apocalyptic number.

416838096900 is the 645630-th square number.

It is an amenable number.

416838096900 is an abundant number, since it is smaller than the sum of its proper divisors (889778473723).

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

416838096900 is an equidigital number, since it uses as much as digits as its factorization.

416838096900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43062 (or 21531 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 416838096900 in words is "four hundred sixteen billion, eight hundred thirty-eight million, ninety-six thousand, nine hundred".