417416782084 has 27 divisors (see below), whose sum is σ = 748825529781. Its totient is φ = 203592099360.

The previous prime is 417416782033. The next prime is 417416782091. The reversal of 417416782084 is 480287614714.

The square root of 417416782084 is 646078.

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., 20113479684 + 397303302400 = 141822^2 + 630320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52974457 + ... + 52982335.

Almost surely, 2^417416782084 is an apocalyptic number.

417416782084 is the 646078-th square number.

It is an amenable number.

417416782084 is a deficient number, since it is larger than the sum of its proper divisors (331408747697).

417416782084 is an frugal number, since it uses more digits than its factorization.

417416782084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15844 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 52.

The spelling of 417416782084 in words is "four hundred seventeen billion, four hundred sixteen million, seven hundred eighty-two thousand, eighty-four".