242832480 has 288 divisors, whose sum is σ = 871147872. Its totient is φ = 56770560.

The previous prime is 242832479. The next prime is 242832493. The reversal of 242832480 is 84238242.

It is a super-2 number, since 2×242832480² = 117935226685900800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2148904 + ... + 2149016.

It is an arithmetic number, because the mean of its divisors is an integer number (3024819).

Almost surely, 2^242832480 is an apocalyptic number.

242832480 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 242832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435573936).

242832480 is an abundant number, since it is smaller than the sum of its proper divisors (628315392).

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

242832480 is a wasteful number, since it uses less digits than its factorization.

242832480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 242832480 is about 15583.0831352464. The cubic root of 242832480 is about 623.8817165675.

The spelling of 242832480 in words is "two hundred forty-two million, eight hundred thirty-two thousand, four hundred eighty".