242186464 has 72 divisors (see below), whose sum is σ = 543707640. Its totient is φ = 105850368.

The previous prime is 242186431. The next prime is 242186501. The reversal of 242186464 is 464681242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101574 + ... + 103930.

It is an arithmetic number, because the mean of its divisors is an integer number (7551495).

Almost surely, 2^242186464 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 242186464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271853820).

242186464 is an abundant number, since it is smaller than the sum of its proper divisors (301521176).

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

242186464 is a wasteful number, since it uses less digits than its factorization.

242186464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2391 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

The square root of 242186464 is about 15562.3412120413. The cubic root of 242186464 is about 623.3279802286.

The spelling of 242186464 in words is "two hundred forty-two million, one hundred eighty-six thousand, four hundred sixty-four".