484305206552640 has 1792 divisors, whose sum is σ = 2026422574202880. Its totient is φ = 107549392896000.

The previous prime is 484305206552617. The next prime is 484305206552641. The reversal of 484305206552640 is 46255602503484.

484305206552640 is a `hidden beast` number, since 4 + 8 + 4 + 3 + 0 + 5 + 20 + 6 + 552 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (484305206552641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28550672799 + ... + 28550689761.

It is an arithmetic number, because the mean of its divisors is an integer number (1130816168640).

Almost surely, 2^{484305206552640} is an apocalyptic number.

484305206552640 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 484305206552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013211287101440).

484305206552640 is an abundant number, since it is smaller than the sum of its proper divisors (1542117367650240).

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

484305206552640 is a wasteful number, since it uses less digits than its factorization.

484305206552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17489 (or 17473 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 484305206552640 in words is "four hundred eighty-four trillion, three hundred five billion, two hundred six million, five hundred fifty-two thousand, six hundred forty".