242050400 has 36 divisors (see below), whose sum is σ = 590907492. Its totient is φ = 96819840.

The previous prime is 242050399. The next prime is 242050409. The reversal of 242050400 is 4050242.

242050400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242050400² = 117176792280320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242050409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150482 + ... + 152081.

It is an arithmetic number, because the mean of its divisors is an integer number (16414097).

Almost surely, 2^242050400 is an apocalyptic number.

242050400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242050400 is an abundant number, since it is smaller than the sum of its proper divisors (348857092).

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

242050400 is a wasteful number, since it uses less digits than its factorization.

242050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302583 (or 302570 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 242050400 is about 15557.9690191233. The cubic root of 242050400 is about 623.2112266815.

The spelling of 242050400 in words is "two hundred forty-two million, fifty thousand, four hundred".