242426464 has 48 divisors (see below), whose sum is σ = 550519200. Its totient is φ = 102933504.

The previous prime is 242426461. The next prime is 242426473. The reversal of 242426464 is 464624242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242426461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19452 + ... + 29380.

It is an arithmetic number, because the mean of its divisors is an integer number (11469150).

Almost surely, 2^242426464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275259600).

242426464 is an abundant number, since it is smaller than the sum of its proper divisors (308092736).

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

242426464 is a wasteful number, since it uses less digits than its factorization.

242426464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10055 (or 10047 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

The square root of 242426464 is about 15570.0502247103. The cubic root of 242426464 is about 623.5338124401.

The spelling of 242426464 in words is "two hundred forty-two million, four hundred twenty-six thousand, four hundred sixty-four".