242399520 has 192 divisors, whose sum is σ = 925706880. Its totient is φ = 58752000.

The previous prime is 242399513. The next prime is 242399533. The reversal of 242399520 is 25993242.

242399520 is a `hidden beast` number, since 2 + 42 + 3 + 99 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 44970 + ... + 50070.

It is an arithmetic number, because the mean of its divisors is an integer number (4821390).

Almost surely, 2^242399520 is an apocalyptic number.

242399520 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 242399520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462853440).

242399520 is an abundant number, since it is smaller than the sum of its proper divisors (683307360).

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

242399520 is a wasteful number, since it uses less digits than its factorization.

242399520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 242399520 is about 15569.1849497654. The cubic root of 242399520 is about 623.5107111152.

The spelling of 242399520 in words is "two hundred forty-two million, three hundred ninety-nine thousand, five hundred twenty".