242820480 has 384 divisors, whose sum is σ = 941868000. Its totient is φ = 52985856.

The previous prime is 242820467. The next prime is 242820493. The reversal of 242820480 is 84028242.

It is an interprime number because it is at equal distance from previous prime (242820467) and next prime (242820493).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2728276 + ... + 2728364.

Almost surely, 2^242820480 is an apocalyptic number.

242820480 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 242820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470934000).

242820480 is an abundant number, since it is smaller than the sum of its proper divisors (699047520).

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

242820480 is a wasteful number, since it uses less digits than its factorization.

242820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 242820480 is about 15582.6980975696. The cubic root of 242820480 is about 623.8714396557.

The spelling of 242820480 in words is "two hundred forty-two million, eight hundred twenty thousand, four hundred eighty".