1484793856 has 192 divisors, whose sum is σ = 3786531840. Its totient is φ = 566231040.

The previous prime is 1484793833. The next prime is 1484793857. The reversal of 1484793856 is 6583974841.

It is a super-2 number, since 2×1484793856² = 4409225589630697472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1484793797 and 1484793806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1484793857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5777280 + ... + 5777536.

It is an arithmetic number, because the mean of its divisors is an integer number (19721520).

Almost surely, 2^1484793856 is an apocalyptic number.

1484793856 is a gapful number since it is divisible by the number (16) 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 1484793856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893265920).

1484793856 is an abundant number, since it is smaller than the sum of its proper divisors (2301737984).

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

1484793856 is a wasteful number, since it uses less digits than its factorization.

1484793856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The square root of 1484793856 is about 38533.0229283922. The cubic root of 1484793856 is about 1140.8329441469.

The spelling of 1484793856 in words is "one billion, four hundred eighty-four million, seven hundred ninety-three thousand, eight hundred fifty-six".