482026400640 has 384 divisors, whose sum is σ = 1759911753600. Its totient is φ = 121232388096.

The previous prime is 482026400623. The next prime is 482026400651. The reversal of 482026400640 is 46004620284.

It is a happy number.

482026400640 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 2 + 6 + 4 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 482026400595 and 482026400604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24833179 + ... + 24852581.

It is an arithmetic number, because the mean of its divisors is an integer number (4583103525).

Almost surely, 2^482026400640 is an apocalyptic number.

482026400640 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 482026400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879955876800).

482026400640 is an abundant number, since it is smaller than the sum of its proper divisors (1277885352960).

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

482026400640 is a wasteful number, since it uses less digits than its factorization.

482026400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19674 (or 19659 counting only the distinct ones).

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

The spelling of 482026400640 in words is "four hundred eighty-two billion, twenty-six million, four hundred thousand, six hundred forty".