242870400 has 240 divisors, whose sum is σ = 897201690. Its totient is φ = 64696320.

The previous prime is 242870393. The next prime is 242870423. The reversal of 242870400 is 4078242.

It can be written as a sum of positive squares in 3 ways, for example, as 115089984 + 127780416 = 10728^2 + 11304^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 258732 + ... + 259668.

Almost surely, 2^242870400 is an apocalyptic number.

242870400 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 242870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448600845).

242870400 is an abundant number, since it is smaller than the sum of its proper divisors (654331290).

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

242870400 is an equidigital number, since it uses as much as digits as its factorization.

242870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 242870400 is about 15584.2997917776. The cubic root of 242870400 is about 623.9141893836.

The spelling of 242870400 in words is "two hundred forty-two million, eight hundred seventy thousand, four hundred".