242403840 has 400 divisors, whose sum is σ = 998186112. Its totient is φ = 55074816.

The previous prime is 242403829. The next prime is 242403851. The reversal of 242403840 is 48304242.

It is a happy number.

242403840 is a `hidden beast` number, since 242 + 40 + 384 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (242403829) and next prime (242403851).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451437 + ... + 1451603.

Almost surely, 2^242403840 is an apocalyptic number.

242403840 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 242403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499093056).

242403840 is an abundant number, since it is smaller than the sum of its proper divisors (755782272).

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

242403840 is an equidigital number, since it uses as much as digits as its factorization.

242403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 242403840 is about 15569.3236847334. The cubic root of 242403840 is about 623.5144151246.

The spelling of 242403840 in words is "two hundred forty-two million, four hundred three thousand, eight hundred forty".