480141777 has 16 divisors (see below), whose sum is σ = 665945280. Its totient is φ = 307339200.

The previous prime is 480141773. The next prime is 480141791. The reversal of 480141777 is 777141084.

It is not a de Polignac number, because 480141777 - 2² = 480141773 is a prime.

It is a super-2 number, since 2×480141777² = 461072252041435458, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (480141773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502 + ... + 30992.

It is an arithmetic number, because the mean of its divisors is an integer number (41621580).

Almost surely, 2^480141777 is an apocalyptic number.

It is an amenable number.

480141777 is a deficient number, since it is larger than the sum of its proper divisors (185803503).

480141777 is a wasteful number, since it uses less digits than its factorization.

480141777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30704.

The product of its (nonzero) digits is 43904, while the sum is 39.

The square root of 480141777 is about 21912.1376638611. The cubic root of 480141777 is about 783.0506092826.

The spelling of 480141777 in words is "four hundred eighty million, one hundred forty-one thousand, seven hundred seventy-seven".