484495920 has 240 divisors, whose sum is σ = 1798759872. Its totient is φ = 116244480.

The previous prime is 484495901. The next prime is 484495927. The reversal of 484495920 is 29594484.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×484495920³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (484495927) 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, 280660 + ... + 282380.

Almost surely, 2^484495920 is an apocalyptic number.

484495920 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 484495920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899379936).

484495920 is an abundant number, since it is smaller than the sum of its proper divisors (1314263952).

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

484495920 is a wasteful number, since it uses less digits than its factorization.

484495920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 484495920 is about 22011.2680234465. The cubic root of 484495920 is about 785.4105091871.

The spelling of 484495920 in words is "four hundred eighty-four million, four hundred ninety-five thousand, nine hundred twenty".