1920480 has 48 divisors (see below), whose sum is σ = 6051024. Its totient is φ = 512000.

The previous prime is 1920469. The next prime is 1920487. The reversal of 1920480 is 840291.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1920480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1521 + ... + 2480.

It is an arithmetic number, because the mean of its divisors is an integer number (126063).

2^1920480 is an apocalyptic number.

1920480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1920480 is an abundant number, since it is smaller than the sum of its proper divisors (4130544).

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

1920480 is a wasteful number, since it uses less digits than its factorization.

1920480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019 (or 4011 counting only the distinct ones).

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

The square root of 1920480 is about 1385.8138403119. The cubic root of 1920480 is about 124.2996568168.

It can be divided in two parts, 1920 and 480, that multiplied together give a square (921600 = 960²).

The spelling of 1920480 in words is "one million, nine hundred twenty thousand, four hundred eighty".