480680640 has 168 divisors, whose sum is σ = 1803763728. Its totient is φ = 116520960.

The previous prime is 480680621. The next prime is 480680663. The reversal of 480680640 is 46086084.

480680640 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 8 + 0 + 640 = 666.

It is a super-3 number, since 3×480680640³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 480680595 and 480680604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24094 + ... + 39266.

Almost surely, 2^480680640 is an apocalyptic number.

480680640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901881864).

480680640 is an abundant number, since it is smaller than the sum of its proper divisors (1323083088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480680640 is a wasteful number, since it uses less digits than its factorization.

480680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15207 (or 15194 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 480680640 is about 21924.4302092438. The cubic root of 480680640 is about 783.3434389321.

The spelling of 480680640 in words is "four hundred eighty million, six hundred eighty thousand, six hundred forty".