240045000 has 160 divisors (see below), whose sum is σ = 808241280. Its totient is φ = 59040000.

The previous prime is 240044999. The next prime is 240045007. The reversal of 240045000 is 540042.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (240045007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194385 + ... + 195615.

It is an arithmetic number, because the mean of its divisors is an integer number (5051508).

Almost surely, 2^240045000 is an apocalyptic number.

240045000 is a gapful number since it is divisible by the number (20) 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 240045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404120640).

240045000 is an abundant number, since it is smaller than the sum of its proper divisors (568196280).

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

240045000 is a wasteful number, since it uses less digits than its factorization.

240045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 240045000 is about 15493.3856855111. The cubic root of 240045000 is about 621.4853391698.

Adding to 240045000 its reverse (540042), we get a palindrome (240585042).

The spelling of 240045000 in words is "two hundred forty million, forty-five thousand".