240442000 has 80 divisors (see below), whose sum is σ = 606782592. Its totient is φ = 91977600.

The previous prime is 240441967. The next prime is 240442003. The reversal of 240442000 is 244042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (240442003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43387 + ... + 48613.

Almost surely, 2^240442000 is an apocalyptic number.

240442000 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 240442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303391296).

240442000 is an abundant number, since it is smaller than the sum of its proper divisors (366340592).

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

240442000 is a wasteful number, since it uses less digits than its factorization.

240442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 240442000 is about 15506.1923114606. The cubic root of 240442000 is about 621.8277663342.

Adding to 240442000 its reverse (244042), we get a palindrome (240686042).

The spelling of 240442000 in words is "two hundred forty million, four hundred forty-two thousand".