481920000 has 220 divisors, whose sum is σ = 1611496656. Its totient is φ = 128000000.

The previous prime is 481919981. The next prime is 481920001. The reversal of 481920000 is 29184.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (481920001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1919875 + ... + 1920125.

Almost surely, 2^481920000 is an apocalyptic number.

481920000 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 481920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805748328).

481920000 is an abundant number, since it is smaller than the sum of its proper divisors (1129576656).

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

481920000 is an equidigital number, since it uses as much as digits as its factorization.

481920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 481920000 is about 21952.6763744196. The cubic root of 481920000 is about 784.0161040701.

Adding to 481920000 its reverse (29184), we get a palindrome (481949184).

It can be divided in two parts, 48 and 1920000, that multiplied together give a square (92160000 = 9600²).

The spelling of 481920000 in words is "four hundred eighty-one million, nine hundred twenty thousand".