242415828 has 60 divisors (see below), whose sum is σ = 636537440. Its totient is φ = 80779032.

The previous prime is 242415787. The next prime is 242415829. The reversal of 242415828 is 828514242.

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

It is a junction number, because it is equal to n+sod(n) for n = 242415792 and 242415801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242415829) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77193 + ... + 80271.

Almost surely, 2^242415828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242415828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318268720).

242415828 is an abundant number, since it is smaller than the sum of its proper divisors (394121612).

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

242415828 is an frugal number, since it uses more digits than its factorization.

242415828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3084 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 242415828 is about 15569.7086677947. The cubic root of 242415828 is about 623.5246935200.

The spelling of 242415828 in words is "two hundred forty-two million, four hundred fifteen thousand, eight hundred twenty-eight".