180490240 has 104 divisors (see below), whose sum is σ = 495391680. Its totient is φ = 61833216.

The previous prime is 180490213. The next prime is 180490337. The reversal of 180490240 is 42094081.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 180490199 and 180490208.

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, 142731 + ... + 143989.

Almost surely, 2^180490240 is an apocalyptic number.

180490240 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 180490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247695840).

180490240 is an abundant number, since it is smaller than the sum of its proper divisors (314901440).

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

180490240 is an equidigital number, since it uses as much as digits as its factorization.

180490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 180490240 is about 13434.6656080455. The cubic root of 180490240 is about 565.1337454541.

The spelling of 180490240 in words is "one hundred eighty million, four hundred ninety thousand, two hundred forty".