242464400 has 60 divisors (see below), whose sum is σ = 593563572. Its totient is φ = 95147520.

The previous prime is 242464379. The next prime is 242464403. The reversal of 242464400 is 4464242.

It can be written as a sum of positive squares in 6 ways, for example, as 4194304 + 238270096 = 2048^2 + 15436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242464400.

It is not an unprimeable number, because it can be changed into a prime (242464403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15482 + ... + 26918.

Almost surely, 2^242464400 is an apocalyptic number.

242464400 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 242464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296781786).

242464400 is an abundant number, since it is smaller than the sum of its proper divisors (351099172).

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

242464400 is a wasteful number, since it uses less digits than its factorization.

242464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11508 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 242464400 is about 15571.2684133310. The cubic root of 242464400 is about 623.5663352164.

The spelling of 242464400 in words is "two hundred forty-two million, four hundred sixty-four thousand, four hundred".