242152400 has 120 divisors (see below), whose sum is σ = 669778560. Its totient is φ = 82414080.

The previous prime is 242152363. The next prime is 242152409. The reversal of 242152400 is 4251242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242152409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551381 + ... + 551819.

It is an arithmetic number, because the mean of its divisors is an integer number (5581488).

Almost surely, 2^242152400 is an apocalyptic number.

242152400 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 242152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334889280).

242152400 is an abundant number, since it is smaller than the sum of its proper divisors (427626160).

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

242152400 is a wasteful number, since it uses less digits than its factorization.

242152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 242152400 is about 15561.2467366853. The cubic root of 242152400 is about 623.2987547584.

The spelling of 242152400 in words is "two hundred forty-two million, one hundred fifty-two thousand, four hundred".