480715641 has 40 divisors (see below), whose sum is σ = 823225920. Its totient is φ = 273847392.

The previous prime is 480715639. The next prime is 480715649. The reversal of 480715641 is 146517084.

It is a happy number.

480715641 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 1 + 5 + 641 = 666.

It is not a de Polignac number, because 480715641 - 2¹ = 480715639 is a prime.

It is a super-3 number, since 3×480715641³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480715596 and 480715605.

It is not an unprimeable number, because it can be changed into a prime (480715649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213775 + ... + 216011.

It is an arithmetic number, because the mean of its divisors is an integer number (20580648).

Almost surely, 2^480715641 is an apocalyptic number.

It is an amenable number.

480715641 is a deficient number, since it is larger than the sum of its proper divisors (342510279).

480715641 is a wasteful number, since it uses less digits than its factorization.

480715641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 480715641 is about 21925.2284138615. The cubic root of 480715641 is about 783.3624516514.

The spelling of 480715641 in words is "four hundred eighty million, seven hundred fifteen thousand, six hundred forty-one".