480776113 has 8 divisors (see below), whose sum is σ = 504277632. Its totient is φ = 457827696.

The previous prime is 480776083. The next prime is 480776129. The reversal of 480776113 is 311677084.

It is the 8952-nd star number.

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 480776113 - 2¹³ = 480767921 is a prime.

It is a super-3 number, since 3×480776113³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480776173) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136495 + ... + 139972.

It is an arithmetic number, because the mean of its divisors is an integer number (63034704).

Almost surely, 2^480776113 is an apocalyptic number.

It is an amenable number.

480776113 is a deficient number, since it is larger than the sum of its proper divisors (23501519).

480776113 is a wasteful number, since it uses less digits than its factorization.

480776113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276551.

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 480776113 is about 21926.6074211219. The cubic root of 480776113 is about 783.3952981715.

The spelling of 480776113 in words is "four hundred eighty million, seven hundred seventy-six thousand, one hundred thirteen".