242402688 has 288 divisors, whose sum is σ = 804192480. Its totient is φ = 69949440.

The previous prime is 242402647. The next prime is 242402689. The reversal of 242402688 is 886204242.

It is a happy number.

242402688 is a `hidden beast` number, since 242 + 402 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242402689) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5157481 + ... + 5157527.

It is an arithmetic number, because the mean of its divisors is an integer number (2792335).

Almost surely, 2^242402688 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 242402688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402096240).

242402688 is an abundant number, since it is smaller than the sum of its proper divisors (561789792).

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

242402688 is a wasteful number, since it uses less digits than its factorization.

242402688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 242402688 is about 15569.2866888628. The cubic root of 242402688 is about 623.5134273930.

The spelling of 242402688 in words is "two hundred forty-two million, four hundred two thousand, six hundred eighty-eight".