242152420 has 48 divisors (see below), whose sum is σ = 553014000. Its totient is φ = 88694784.

The previous prime is 242152411. The next prime is 242152447. The reversal of 242152420 is 24251242.

It can be written as a sum of positive squares in 8 ways, for example, as 48553024 + 193599396 = 6968^2 + 13914^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242152391 and 242152400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2956 + ... + 22204.

It is an arithmetic number, because the mean of its divisors is an integer number (11521125).

Almost surely, 2^242152420 is an apocalyptic number.

242152420 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 242152420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276507000).

242152420 is an abundant number, since it is smaller than the sum of its proper divisors (310861580).

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

242152420 is a wasteful number, since it uses less digits than its factorization.

242152420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19312 (or 19310 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 242152420 is about 15561.2473793074. The cubic root of 242152420 is about 623.2987719183.

The spelling of 242152420 in words is "two hundred forty-two million, one hundred fifty-two thousand, four hundred twenty".