484837920 has 192 divisors, whose sum is σ = 1939472640. Its totient is φ = 110813184.

The previous prime is 484837919. The next prime is 484837937. The reversal of 484837920 is 29738484.

484837920 is a `hidden beast` number, since 484 + 83 + 7 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22224 + ... + 38256.

It is an arithmetic number, because the mean of its divisors is an integer number (10101420).

Almost surely, 2^484837920 is an apocalyptic number.

484837920 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 484837920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969736320).

484837920 is an abundant number, since it is smaller than the sum of its proper divisors (1454634720).

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

484837920 is a wasteful number, since it uses less digits than its factorization.

484837920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16064 (or 16050 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 484837920 is about 22019.0354012159. The cubic root of 484837920 is about 785.5952697494.

The spelling of 484837920 in words is "four hundred eighty-four million, eight hundred thirty-seven thousand, nine hundred twenty".