242153604 has 192 divisors, whose sum is σ = 804894720. Its totient is φ = 61119360.

The previous prime is 242153599. The next prime is 242153609. The reversal of 242153604 is 406351242.

242153604 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 53 + 604 = 666.

It is an interprime number because it is at equal distance from previous prime (242153599) and next prime (242153609).

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

It is not an unprimeable number, because it can be changed into a prime (242153609) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307299 + ... + 308085.

It is an arithmetic number, because the mean of its divisors is an integer number (4192160).

Almost surely, 2^242153604 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 242153604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402447360).

242153604 is an abundant number, since it is smaller than the sum of its proper divisors (562741116).

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

242153604 is a wasteful number, since it uses less digits than its factorization.

242153604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 242153604 is about 15561.2854224836. The cubic root of 242153604 is about 623.2997877861.

The spelling of 242153604 in words is "two hundred forty-two million, one hundred fifty-three thousand, six hundred four".