484280653248 has 672 divisors, whose sum is σ = 1732845643776. Its totient is φ = 126295842816.

The previous prime is 484280653237. The next prime is 484280653249. The reversal of 484280653248 is 842356082484.

484280653248 is a `hidden beast` number, since 4 + 84 + 28 + 0 + 6 + 532 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×484280653248² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 484280653194 and 484280653203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484280653249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181853965 + ... + 181856627.

Almost surely, 2^484280653248 is an apocalyptic number.

484280653248 is a gapful number since it is divisible by the number (48) 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 484280653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866422821888).

484280653248 is an abundant number, since it is smaller than the sum of its proper divisors (1248564990528).

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

484280653248 is a wasteful number, since it uses less digits than its factorization.

484280653248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 484280653248 in words is "four hundred eighty-four billion, two hundred eighty million, six hundred fifty-three thousand, two hundred forty-eight".