242642400 has 576 divisors, whose sum is σ = 1070931456. Its totient is φ = 46080000.

The previous prime is 242642399. The next prime is 242642423. The reversal of 242642400 is 4246242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2402350 + ... + 2402450.

It is an arithmetic number, because the mean of its divisors is an integer number (1859256).

Almost surely, 2^242642400 is an apocalyptic number.

242642400 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 242642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535465728).

242642400 is an abundant number, since it is smaller than the sum of its proper divisors (828289056).

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

242642400 is a wasteful number, since it uses less digits than its factorization.

242642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 242642400 is about 15576.9830198277. The cubic root of 242642400 is about 623.7188904743.

Adding to 242642400 its reverse (4246242), we get a palindrome (246888642).

The spelling of 242642400 in words is "two hundred forty-two million, six hundred forty-two thousand, four hundred".