484077888 has 168 divisors, whose sum is σ = 1596054720. Its totient is φ = 137410560.

The previous prime is 484077887. The next prime is 484077911. The reversal of 484077888 is 888770484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484077887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 850468 + ... + 851036.

Almost surely, 2^484077888 is an apocalyptic number.

484077888 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 484077888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798027360).

484077888 is an abundant number, since it is smaller than the sum of its proper divisors (1111976832).

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

484077888 is a wasteful number, since it uses less digits than its factorization.

484077888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The square root of 484077888 is about 22001.7701106070. The cubic root of 484077888 is about 785.1845553063.

It can be divided in two parts, 4840 and 77888, that added together give a palindrome (82728).

The spelling of 484077888 in words is "four hundred eighty-four million, seventy-seven thousand, eight hundred eighty-eight".