242888400 has 360 divisors, whose sum is σ = 917485920. Its totient is φ = 59304960.

The previous prime is 242888383. The next prime is 242888407. The reversal of 242888400 is 4888242.

242888400 is a `hidden beast` number, since 242 + 8 + 8 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×242888400³ (a number of 26 digits) contains 333 as substring.

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 (242888407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3625167 + ... + 3625233.

It is an arithmetic number, because the mean of its divisors is an integer number (2548572).

Almost surely, 2^242888400 is an apocalyptic number.

242888400 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 242888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458742960).

242888400 is an abundant number, since it is smaller than the sum of its proper divisors (674597520).

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

242888400 is a wasteful number, since it uses less digits than its factorization.

242888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 242888400 is about 15584.8772853687. The cubic root of 242888400 is about 623.9296025120.

The spelling of 242888400 in words is "two hundred forty-two million, eight hundred eighty-eight thousand, four hundred".