1484638848 has 384 divisors, whose sum is σ = 5567486400. Its totient is φ = 385136640.

The previous prime is 1484638843. The next prime is 1484638879. The reversal of 1484638848 is 8488364841.

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 (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1484638794 and 1484638803.

It is not an unprimeable number, because it can be changed into a prime (1484638843) 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, 1862386 + ... + 1863182.

Almost surely, 2^1484638848 is an apocalyptic number.

1484638848 is a gapful number since it is divisible by the number (18) 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 1484638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783743200).

1484638848 is an abundant number, since it is smaller than the sum of its proper divisors (4082847552).

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

1484638848 is a wasteful number, since it uses less digits than its factorization.

1484638848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 820 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 1484638848 is about 38531.0115102108. The cubic root of 1484638848 is about 1140.7932429259.

The spelling of 1484638848 in words is "one billion, four hundred eighty-four million, six hundred thirty-eight thousand, eight hundred forty-eight".