242477800 has 48 divisors (see below), whose sum is σ = 596931660. Its totient is φ = 91284480.

The previous prime is 242477789. The next prime is 242477801. The reversal of 242477800 is 8774242.

It can be written as a sum of positive squares in 6 ways, for example, as 90744676 + 151733124 = 9526^2 + 12318^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (242477801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32259 + ... + 39058.

Almost surely, 2^242477800 is an apocalyptic number.

242477800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242477800 is an abundant number, since it is smaller than the sum of its proper divisors (354453860).

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

242477800 is a wasteful number, since it uses less digits than its factorization.

242477800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71350 (or 71341 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 242477800 is about 15571.6986870412. The cubic root of 242477800 is about 623.5778223116.

The spelling of 242477800 in words is "two hundred forty-two million, four hundred seventy-seven thousand, eight hundred".