480624016 has 10 divisors (see below), whose sum is σ = 931209062. Its totient is φ = 240312000.

The previous prime is 480623999. The next prime is 480624037. The reversal of 480624016 is 610426084.

It can be written as a sum of positive squares in only one way, i.e., 240374016 + 240250000 = 15504^2 + 15500^2 .

It is a super-3 number, since 3×480624016³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15019485 + ... + 15019516.

Almost surely, 2^480624016 is an apocalyptic number.

It is an amenable number.

480624016 is a deficient number, since it is larger than the sum of its proper divisors (450585046).

480624016 is a wasteful number, since it uses less digits than its factorization.

480624016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30039009 (or 30039003 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 480624016 is about 21923.1388263633. The cubic root of 480624016 is about 783.3126785359.

The spelling of 480624016 in words is "four hundred eighty million, six hundred twenty-four thousand, sixteen".