242358480 has 480 divisors, whose sum is σ = 1046433024. Its totient is φ = 50761728.

The previous prime is 242358469. The next prime is 242358533. The reversal of 242358480 is 84853242.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1768972 + ... + 1769108.

Almost surely, 2^242358480 is an apocalyptic number.

242358480 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 242358480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523216512).

242358480 is an abundant number, since it is smaller than the sum of its proper divisors (804074544).

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

242358480 is a wasteful number, since it uses less digits than its factorization.

242358480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 242358480 is about 15567.8669059059. The cubic root of 242358480 is about 623.4755208312.

The spelling of 242358480 in words is "two hundred forty-two million, three hundred fifty-eight thousand, four hundred eighty".