242166400 has 192 divisors, whose sum is σ = 720936000. Its totient is φ = 78520320.

The previous prime is 242166373. The next prime is 242166409. The reversal of 242166400 is 4661242.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (242166409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 425316 + ... + 425884.

It is an arithmetic number, because the mean of its divisors is an integer number (3754875).

Almost surely, 2^242166400 is an apocalyptic number.

242166400 is a gapful number since it is divisible by the number (20) 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 242166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360468000).

242166400 is an abundant number, since it is smaller than the sum of its proper divisors (478769600).

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

242166400 is a wasteful number, since it uses less digits than its factorization.

242166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 242166400 is about 15561.6965656062. The cubic root of 242166400 is about 623.3107664976.

The spelling of 242166400 in words is "two hundred forty-two million, one hundred sixty-six thousand, four hundred".