1630480 has 40 divisors (see below), whose sum is σ = 3850200. Its totient is φ = 642048.

The previous prime is 1630471. The next prime is 1630483. The reversal of 1630480 is 840361.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 1364224 = 516^2 + 1168^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1630483) 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, 7006 + ... + 7234.

It is an arithmetic number, because the mean of its divisors is an integer number (96255).

2^1630480 is an apocalyptic number.

1630480 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 1630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925100).

1630480 is an abundant number, since it is smaller than the sum of its proper divisors (2219720).

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

1630480 is a wasteful number, since it uses less digits than its factorization.

1630480 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1630480 is about 1276.9025021512. The cubic root of 1630480 is about 117.6987431732.

It can be divided in two parts, 16304 and 80, that added together give a 14-th power (16384 = 2¹⁴).

The spelling of 1630480 in words is "one million, six hundred thirty thousand, four hundred eighty".