242914464 has 216 divisors, whose sum is σ = 781178580. Its totient is φ = 73903104.

The previous prime is 242914459. The next prime is 242914517. The reversal of 242914464 is 464419242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 212576400 + 30338064 = 14580^2 + 5508^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 2729332 + ... + 2729420.

Almost surely, 2^242914464 is an apocalyptic number.

242914464 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 242914464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390589290).

242914464 is an abundant number, since it is smaller than the sum of its proper divisors (538264116).

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

242914464 is an frugal number, since it uses more digits than its factorization.

242914464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 242914464 is about 15585.7134581642. The cubic root of 242914464 is about 623.9519193723.

The spelling of 242914464 in words is "two hundred forty-two million, nine hundred fourteen thousand, four hundred sixty-four".