242762352 has 80 divisors (see below), whose sum is σ = 718501632. Its totient is φ = 69189120.

The previous prime is 242762347. The next prime is 242762357. The reversal of 242762352 is 253267242.

242762352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242762347) and next prime (242762357).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242762357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206727 + ... + 207897.

Almost surely, 2^242762352 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 242762352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359250816).

242762352 is an abundant number, since it is smaller than the sum of its proper divisors (475739280).

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

242762352 is a wasteful number, since it uses less digits than its factorization.

242762352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1800 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 242762352 is about 15580.8328403844. The cubic root of 242762352 is about 623.8216535021.

The spelling of 242762352 in words is "two hundred forty-two million, seven hundred sixty-two thousand, three hundred fifty-two".