1790480 has 20 divisors (see below), whose sum is σ = 4163052. Its totient is φ = 716160.

The previous prime is 1790479. The next prime is 1790483. The reversal of 1790480 is 840971.

It can be written as a sum of positive squares in 2 ways, for example, as 861184 + 929296 = 928^2 + 964^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1790483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11111 + ... + 11270.

2^1790480 is an apocalyptic number.

1790480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1790480 is an abundant number, since it is smaller than the sum of its proper divisors (2372572).

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

1790480 is a wasteful number, since it uses less digits than its factorization.

1790480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22394 (or 22388 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1790480 is about 1338.0881884241. The cubic root of 1790480 is about 121.4292067853.

The spelling of 1790480 in words is "one million, seven hundred ninety thousand, four hundred eighty".