242616400 has 180 divisors, whose sum is σ = 654913812. Its totient is φ = 86261760.

The previous prime is 242616359. The next prime is 242616419. The reversal of 242616400 is 4616242.

It can be written as a sum of positive squares in 18 ways, for example, as 195776064 + 46840336 = 13992^2 + 6844^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2501152 + ... + 2501248.

Almost surely, 2^242616400 is an apocalyptic number.

242616400 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 242616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327456906).

242616400 is an abundant number, since it is smaller than the sum of its proper divisors (412297412).

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

242616400 is a wasteful number, since it uses less digits than its factorization.

242616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 242616400 is about 15576.1484327802. The cubic root of 242616400 is about 623.6966117761.

The spelling of 242616400 in words is "two hundred forty-two million, six hundred sixteen thousand, four hundred".