242218464 has 48 divisors (see below), whose sum is σ = 640862208. Its totient is φ = 80099712.

The previous prime is 242218439. The next prime is 242218477. The reversal of 242218464 is 464812242.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2259 + ... + 22125.

It is an arithmetic number, because the mean of its divisors is an integer number (13351296).

Almost surely, 2^242218464 is an apocalyptic number.

242218464 is a gapful number since it is divisible by the number (24) 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 242218464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320431104).

242218464 is an abundant number, since it is smaller than the sum of its proper divisors (398643744).

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

242218464 is a wasteful number, since it uses less digits than its factorization.

242218464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20007 (or 19999 counting only the distinct ones).

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

The square root of 242218464 is about 15563.3693010222. The cubic root of 242218464 is about 623.3554323779.

The spelling of 242218464 in words is "two hundred forty-two million, two hundred eighteen thousand, four hundred sixty-four".