484801920 has 192 divisors, whose sum is σ = 1772915040. Its totient is φ = 121651200.

The previous prime is 484801859. The next prime is 484801943. The reversal of 484801920 is 29108484.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95445 + ... + 100395.

Almost surely, 2^484801920 is an apocalyptic number.

484801920 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 484801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886457520).

484801920 is an abundant number, since it is smaller than the sum of its proper divisors (1288113120).

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

484801920 is a wasteful number, since it uses less digits than its factorization.

484801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 484801920 is about 22018.2179115386. The cubic root of 484801920 is about 785.5758253616.

The spelling of 484801920 in words is "four hundred eighty-four million, eight hundred one thousand, nine hundred twenty".