242746128 has 180 divisors, whose sum is σ = 762121360. Its totient is φ = 71912448.

The previous prime is 242746123. The next prime is 242746139. The reversal of 242746128 is 821647242.

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 = 242746092 and 242746101.

It is not an unprimeable number, because it can be changed into a prime (242746121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 790551 + ... + 790857.

Almost surely, 2^242746128 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 242746128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381060680).

242746128 is an abundant number, since it is smaller than the sum of its proper divisors (519375232).

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

242746128 is a wasteful number, since it uses less digits than its factorization.

242746128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 348 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 242746128 is about 15580.3121919941. The cubic root of 242746128 is about 623.8077563610.

The spelling of 242746128 in words is "two hundred forty-two million, seven hundred forty-six thousand, one hundred twenty-eight".