1481920 has 56 divisors (see below), whose sum is σ = 3858768. Its totient is φ = 537600.

The previous prime is 1481917. The next prime is 1481927. The reversal of 1481920 is 291841.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1481927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3310 + ... + 3730.

2^1481920 is an apocalyptic number.

1481920 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 1481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929384).

1481920 is an abundant number, since it is smaller than the sum of its proper divisors (2376848).

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

1481920 is a wasteful number, since it uses less digits than its factorization.

1481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 1481920 is about 1217.3413654353. The cubic root of 1481920 is about 114.0096431773.

It can be divided in two parts, 1481 and 920, that added together give a 4-th power (2401 = 7⁴).

The spelling of 1481920 in words is "one million, four hundred eighty-one thousand, nine hundred twenty".