242400064 has 14 divisors (see below), whose sum is σ = 481012754. Its totient is φ = 121200000.

The previous prime is 242400049. The next prime is 242400079. The reversal of 242400064 is 460004242.

242400064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242400049) and next prime (242400079).

It can be written as a sum of positive squares in only one way, i.e., 224760064 + 17640000 = 14992^2 + 4200^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1893687 + ... + 1893814.

Almost surely, 2^242400064 is an apocalyptic number.

It is an amenable number.

242400064 is a deficient number, since it is larger than the sum of its proper divisors (238612690).

242400064 is an equidigital number, since it uses as much as digits as its factorization.

242400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787513 (or 3787503 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 242400064 is about 15569.2024201627. The cubic root of 242400064 is about 623.5111775484.

The spelling of 242400064 in words is "two hundred forty-two million, four hundred thousand, sixty-four".