242451144 has 160 divisors (see below), whose sum is σ = 774801720. Its totient is φ = 70170624.

The previous prime is 242451137. The next prime is 242451151. The reversal of 242451144 is 441154242.

It is an interprime number because it is at equal distance from previous prime (242451137) and next prime (242451151).

It can be written as a sum of positive squares in 4 ways, for example, as 186650244 + 55800900 = 13662^2 + 7470^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 142362 + ... + 144054.

Almost surely, 2^242451144 is an apocalyptic number.

242451144 is a gapful number since it is divisible by the number (24) 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 242451144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387400860).

242451144 is an abundant number, since it is smaller than the sum of its proper divisors (532350576).

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

242451144 is a wasteful number, since it uses less digits than its factorization.

242451144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1728 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 242451144 is about 15570.8427517588. The cubic root of 242451144 is about 623.5549711481.

The spelling of 242451144 in words is "two hundred forty-two million, four hundred fifty-one thousand, one hundred forty-four".