480737205 has 96 divisors (see below), whose sum is σ = 951350400. Its totient is φ = 222856704.

The previous prime is 480737167. The next prime is 480737207. The reversal of 480737205 is 502737084.

It is not a de Polignac number, because 480737205 - 2⁷ = 480737077 is a prime.

It is a super-3 number, since 3×480737205³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 480737205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480737207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 729166 + ... + 729824.

It is an arithmetic number, because the mean of its divisors is an integer number (9909900).

Almost surely, 2^480737205 is an apocalyptic number.

480737205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480737205 is a deficient number, since it is larger than the sum of its proper divisors (470613195).

480737205 is a wasteful number, since it uses less digits than its factorization.

480737205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 480737205 is about 21925.7201706124. The cubic root of 480737205 is about 783.3741648652.

It can be divided in two parts, 48073 and 7205, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 480737205 in words is "four hundred eighty million, seven hundred thirty-seven thousand, two hundred five".