480146441476 has 81 divisors (see below), whose sum is σ = 943346271231. Its totient is φ = 213731638848.

The previous prime is 480146441431. The next prime is 480146441483. The reversal of 480146441476 is 674144641084.

The square root of 480146441476 is 692926.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 61568496900 + 418577944576 = 248130^2 + 646976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 522465745 + ... + 522466663.

Almost surely, 2^480146441476 is an apocalyptic number.

480146441476 is the 692926-th square number.

It is an amenable number.

480146441476 is a deficient number, since it is larger than the sum of its proper divisors (463199829755).

480146441476 is an equidigital number, since it uses as much as digits as its factorization.

480146441476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 49.

Multiplying 480146441476 by its sum of digits (49), we get a square (23527175632324 = 4850482²).

The spelling of 480146441476 in words is "four hundred eighty billion, one hundred forty-six million, four hundred forty-one thousand, four hundred seventy-six".