1980480 has 56 divisors (see below), whose sum is σ = 6291072. Its totient is φ = 527872.

The previous prime is 1980469. The next prime is 1980491. The reversal of 1980480 is 840891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1980469) and next prime (1980491).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 1991.

2^1980480 is an apocalyptic number.

1980480 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 1980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145536).

1980480 is an abundant number, since it is smaller than the sum of its proper divisors (4310592).

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

1980480 is a wasteful number, since it uses less digits than its factorization.

1980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1980480 is about 1407.2952781844. The cubic root of 1980480 is about 125.5808698737.

The spelling of 1980480 in words is "one million, nine hundred eighty thousand, four hundred eighty".