242410400 has 36 divisors (see below), whose sum is σ = 591786342. Its totient is φ = 96963840.

The previous prime is 242410387. The next prime is 242410411. The reversal of 242410400 is 4014242.

242410400 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 3 ways, for example, as 151093264 + 91317136 = 12292^2 + 9556^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150707 + ... + 152306.

Almost surely, 2^242410400 is an apocalyptic number.

242410400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242410400 is an abundant number, since it is smaller than the sum of its proper divisors (349375942).

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

242410400 is a wasteful number, since it uses less digits than its factorization.

242410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303033 (or 303020 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 242410400 is about 15569.5343539876. The cubic root of 242410400 is about 623.5200396472.

Adding to 242410400 its reverse (4014242), we get a palindrome (246424642).

The spelling of 242410400 in words is "two hundred forty-two million, four hundred ten thousand, four hundred".