242798400 has 252 divisors, whose sum is σ = 930061132. Its totient is φ = 59719680.

The previous prime is 242798399. The next prime is 242798441. The reversal of 242798400 is 4897242.

242798400 is a `hidden beast` number, since 242 + 7 + 9 + 8 + 400 = 666.

242798400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 186624 + 242611776 = 432^2 + 15576^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186552 + ... + 187848.

Almost surely, 2^242798400 is an apocalyptic number.

242798400 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 242798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465030566).

242798400 is an abundant number, since it is smaller than the sum of its proper divisors (687262732).

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

242798400 is a wasteful number, since it uses less digits than its factorization.

242798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 242798400 is about 15581.9896033851. The cubic root of 242798400 is about 623.8525292534.

The spelling of 242798400 in words is "two hundred forty-two million, seven hundred ninety-eight thousand, four hundred".