480225945 has 32 divisors (see below), whose sum is σ = 814776192. Its totient is φ = 240694272.

The previous prime is 480225919. The next prime is 480225953. The reversal of 480225945 is 549522084.

It is not a de Polignac number, because 480225945 - 2⁵ = 480225913 is a prime.

It is a super-2 number, since 2×480225945² = 461233916502286050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277854 + ... + 279576.

It is an arithmetic number, because the mean of its divisors is an integer number (25461756).

Almost surely, 2^480225945 is an apocalyptic number.

It is an amenable number.

480225945 is a deficient number, since it is larger than the sum of its proper divisors (334550247).

480225945 is a wasteful number, since it uses less digits than its factorization.

480225945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841.

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 480225945 is about 21914.0581590905. The cubic root of 480225945 is about 783.0963624025.

It can be divided in two parts, 4802259 and 45, that multiplied together give a triangular number (216101655 = T₂₀₇₈₉).

The spelling of 480225945 in words is "four hundred eighty million, two hundred twenty-five thousand, nine hundred forty-five".