1920516480 has 384 divisors, whose sum is σ = 7037241120. Its totient is φ = 500318208.

The previous prime is 1920516449. The next prime is 1920516511. The reversal of 1920516480 is 846150291.

1920516480 is a `hidden beast` number, since 1 + 9 + 2 + 0 + 5 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1920516449) and next prime (1920516511).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 8242444 + ... + 8242676.

Almost surely, 2^1920516480 is an apocalyptic number.

1920516480 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 1920516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518620560).

1920516480 is an abundant number, since it is smaller than the sum of its proper divisors (5116724640).

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

1920516480 is an equidigital number, since it uses as much as digits as its factorization.

1920516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1920516480 is about 43823.6976988478. The cubic root of 1920516480 is about 1243.0044384626.

It can be divided in two parts, 1920516 and 480, that added together give a square (1920996 = 1386²).

The spelling of 1920516480 in words is "one billion, nine hundred twenty million, five hundred sixteen thousand, four hundred eighty".