242150440 has 128 divisors (see below), whose sum is σ = 684288000. Its totient is φ = 75195648.

The previous prime is 242150437. The next prime is 242150443. The reversal of 242150440 is 44051242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242150437) and next prime (242150443).

It is not an unprimeable number, because it can be changed into a prime (242150443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121371 + ... + 123349.

It is an arithmetic number, because the mean of its divisors is an integer number (5346000).

Almost surely, 2^242150440 is an apocalyptic number.

242150440 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 242150440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342144000).

242150440 is an abundant number, since it is smaller than the sum of its proper divisors (442137560).

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

242150440 is a wasteful number, since it uses less digits than its factorization.

242150440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 242150440 is about 15561.1837595988. The cubic root of 242150440 is about 623.2970730780.

The spelling of 242150440 in words is "two hundred forty-two million, one hundred fifty thousand, four hundred forty".