1990480 has 40 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 786048.

The previous prime is 1990463. The next prime is 1990481. The reversal of 1990480 is 840991.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990481) 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, 11031 + ... + 11209.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

2^1990480 is an apocalyptic number.

1990480 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 1990480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

1990480 is an abundant number, since it is smaller than the sum of its proper divisors (2696720).

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

1990480 is a wasteful number, since it uses less digits than its factorization.

1990480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1990480 is about 1410.8437191978. The cubic root of 1990480 is about 125.7918794883.

The spelling of 1990480 in words is "one million, nine hundred ninety thousand, four hundred eighty".