482264640 has 336 divisors, whose sum is σ = 1950451776. Its totient is φ = 107827200.

The previous prime is 482264609. The next prime is 482264647. The reversal of 482264640 is 46462284.

It is a happy number.

482264640 is a `hidden beast` number, since 4 + 8 + 2 + 2 + 6 + 4 + 640 = 666.

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 = 482264595 and 482264604.

It is not an unprimeable number, because it can be changed into a prime (482264647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411255 + ... + 412425.

It is an arithmetic number, because the mean of its divisors is an integer number (5804916).

Almost surely, 2^482264640 is an apocalyptic number.

482264640 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 482264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975225888).

482264640 is an abundant number, since it is smaller than the sum of its proper divisors (1468187136).

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

482264640 is a wasteful number, since it uses less digits than its factorization.

482264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 482264640 is about 21960.5245838983. The cubic root of 482264640 is about 784.2029531493.

The spelling of 482264640 in words is "four hundred eighty-two million, two hundred sixty-four thousand, six hundred forty".