480561409 has 8 divisors (see below), whose sum is σ = 487533312. Its totient is φ = 473600160.

The previous prime is 480561391. The next prime is 480561427. The reversal of 480561409 is 904165084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (480561391) and next prime (480561427).

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 480561409 - 2¹⁷ = 480430337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480561469) 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, 149004 + ... + 152194.

It is an arithmetic number, because the mean of its divisors is an integer number (60941664).

Almost surely, 2^480561409 is an apocalyptic number.

It is an amenable number.

480561409 is a deficient number, since it is larger than the sum of its proper divisors (6971903).

480561409 is a wasteful number, since it uses less digits than its factorization.

480561409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 480561409 is about 21921.7109049454. The cubic root of 480561409 is about 783.2786651250.

The spelling of 480561409 in words is "four hundred eighty million, five hundred sixty-one thousand, four hundred nine".