580400417 has 8 divisors (see below), whose sum is σ = 621448200. Its totient is φ = 540120064.

The previous prime is 580400407. The next prime is 580400441. The reversal of 580400417 is 714004085.

It can be written as a sum of positive squares in 4 ways, for example, as 126540001 + 453860416 = 11249^2 + 21304^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 580400417 - 2¹² = 580396321 is a prime.

It is a super-5 number, since 5×580400417⁵ (a number of 45 digits) contains 55555 as substring.

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 580400417.

It is not an unprimeable number, because it can be changed into a prime (580400407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190292 + ... + 193317.

It is an arithmetic number, because the mean of its divisors is an integer number (77681025).

Almost surely, 2^580400417 is an apocalyptic number.

It is an amenable number.

580400417 is a deficient number, since it is larger than the sum of its proper divisors (41047783).

580400417 is a wasteful number, since it uses less digits than its factorization.

580400417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383715.

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 580400417 is about 24091.5009287508. The cubic root of 580400417 is about 834.1469610689.

The spelling of 580400417 in words is "five hundred eighty million, four hundred thousand, four hundred seventeen".