1920480000 has 180 divisors, whose sum is σ = 6388648728. Its totient is φ = 512000000.

The previous prime is 1920479999. The next prime is 1920480041. The reversal of 1920480000 is 840291.

1920480000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 478000 + ... + 482000.

Almost surely, 2^1920480000 is an apocalyptic number.

1920480000 is a gapful number since it is divisible by the number (10) 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 1920480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194324364).

1920480000 is an abundant number, since it is smaller than the sum of its proper divisors (4468168728).

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

1920480000 is an frugal number, since it uses more digits than its factorization.

1920480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040 (or 4011 counting only the distinct ones).

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

The square root of 1920480000 is about 43823.2814837045. The cubic root of 1920480000 is about 1242.9965681684.

The spelling of 1920480000 in words is "one billion, nine hundred twenty million, four hundred eighty thousand".