1972480 has 72 divisors (see below), whose sum is σ = 5003712. Its totient is φ = 743424.

The previous prime is 1972471. The next prime is 1972483. The reversal of 1972480 is 842791.

It is not an unprimeable number, because it can be changed into a prime (1972483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29407 + ... + 29473.

It is an arithmetic number, because the mean of its divisors is an integer number (69496).

2^1972480 is an apocalyptic number.

1972480 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 1972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501856).

1972480 is an abundant number, since it is smaller than the sum of its proper divisors (3031232).

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

1972480 is an equidigital number, since it uses as much as digits as its factorization.

1972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 1972480 is about 1404.4500703122. The cubic root of 1972480 is about 125.4115501911.

The spelling of 1972480 in words is "one million, nine hundred seventy-two thousand, four hundred eighty".