242359488 has 252 divisors, whose sum is σ = 837175872. Its totient is φ = 66769920.

The previous prime is 242359417. The next prime is 242359511. The reversal of 242359488 is 884953242.

It is a tau number, because it is divible by the number of its divisors (252).

Its product of digits (552960) is a multiple of the sum of its prime divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874806 + ... + 875082.

Almost surely, 2^242359488 is an apocalyptic number.

242359488 is a gapful number since it is divisible by the number (28) 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 242359488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418587936).

242359488 is an abundant number, since it is smaller than the sum of its proper divisors (594816384).

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

242359488 is a wasteful number, since it uses less digits than its factorization.

242359488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 320 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 242359488 is about 15567.8992802497. The cubic root of 242359488 is about 623.4763852016.

The spelling of 242359488 in words is "two hundred forty-two million, three hundred fifty-nine thousand, four hundred eighty-eight".