242064400 has 60 divisors (see below), whose sum is σ = 584118864. Its totient is φ = 96400000.

The previous prime is 242064391. The next prime is 242064439. The reversal of 242064400 is 4460242.

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 11 ways as a sum of consecutive naturals, for example, 99195 + ... + 101605.

Almost surely, 2^242064400 is an apocalyptic number.

242064400 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 242064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292059432).

242064400 is an abundant number, since it is smaller than the sum of its proper divisors (342054464).

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

242064400 is a wasteful number, since it uses less digits than its factorization.

242064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2669 counting only the distinct ones).

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

The square root of 242064400 is about 15558.4189428104. The cubic root of 242064400 is about 623.2232417948.

It can be divided in two parts, 242064 and 400, that multiplied together give a square (96825600 = 9840²).

The spelling of 242064400 in words is "two hundred forty-two million, sixty-four thousand, four hundred".