242064900 has 324 divisors, whose sum is σ = 964782000. Its totient is φ = 50198400.

The previous prime is 242064877. The next prime is 242064913. The reversal of 242064900 is 9460242.

242064900 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-5 number, since 5×242064900⁵ (a number of 43 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 484851 + ... + 485349.

Almost surely, 2^242064900 is an apocalyptic number.

242064900 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 242064900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482391000).

242064900 is an abundant number, since it is smaller than the sum of its proper divisors (722717100).

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

242064900 is a wasteful number, since it uses less digits than its factorization.

242064900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 242064900 is about 15558.4350112728. The cubic root of 242064900 is about 623.2236708974.

It can be divided in two parts, 242064 and 900, that multiplied together give a square (217857600 = 14760²).

The spelling of 242064900 in words is "two hundred forty-two million, sixty-four thousand, nine hundred".