242532400 has 90 divisors (see below), whose sum is σ = 640598756. Its totient is φ = 88176000.

The previous prime is 242532377. The next prime is 242532403. The reversal of 242532400 is 4235242.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (242532403) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 45895 + ... + 50905.

Almost surely, 2^242532400 is an apocalyptic number.

242532400 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 242532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320299378).

242532400 is an abundant number, since it is smaller than the sum of its proper divisors (398066356).

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

242532400 is a wasteful number, since it uses less digits than its factorization.

242532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 242532400 is about 15573.4517689560. The cubic root of 242532400 is about 623.6246235636.

Adding to 242532400 its reverse (4235242), we get a palindrome (246767642).

The spelling of 242532400 in words is "two hundred forty-two million, five hundred thirty-two thousand, four hundred".