482576640 has 288 divisors, whose sum is σ = 1898270976. Its totient is φ = 101744640.

The previous prime is 482576599. The next prime is 482576641. The reversal of 482576640 is 46675284.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 482576592 and 482576601.

It is not an unprimeable number, because it can be changed into a prime (482576641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348750 + ... + 350130.

Almost surely, 2^482576640 is an apocalyptic number.

482576640 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 482576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949135488).

482576640 is an abundant number, since it is smaller than the sum of its proper divisors (1415694336).

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

482576640 is a wasteful number, since it uses less digits than its factorization.

482576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 482576640 is about 21967.6270907898. The cubic root of 482576640 is about 784.3720294592.

The spelling of 482576640 in words is "four hundred eighty-two million, five hundred seventy-six thousand, six hundred forty".