1920840480 has 360 divisors, whose sum is σ = 7348907412. Its totient is φ = 472283136.

The previous prime is 1920840479. The next prime is 1920840527. The reversal of 1920840480 is 840480291.

It can be written as a sum of positive squares in 6 ways, for example, as 461906064 + 1458934416 = 21492^2 + 38196^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2189802 + ... + 2190678.

Almost surely, 2^1920840480 is an apocalyptic number.

1920840480 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 1920840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674453706).

1920840480 is an abundant number, since it is smaller than the sum of its proper divisors (5428066932).

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

1920840480 is a wasteful number, since it uses less digits than its factorization.

1920840480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1920840480 is about 43827.3941730512. The cubic root of 1920840480 is about 1243.0743347286.

The spelling of 1920840480 in words is "one billion, nine hundred twenty million, eight hundred forty thousand, four hundred eighty".