242602400 has 72 divisors (see below), whose sum is σ = 612734220. Its totient is φ = 93685760.

The previous prime is 242602387. The next prime is 242602411. The reversal of 242602400 is 4206242.

242602400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 146797456 + 95804944 = 12116^2 + 9788^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17972 + ... + 28428.

Almost surely, 2^242602400 is an apocalyptic number.

242602400 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 242602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306367110).

242602400 is an abundant number, since it is smaller than the sum of its proper divisors (370131820).

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

242602400 is a wasteful number, since it uses less digits than its factorization.

242602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10506 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 242602400 is about 15575.6990212318. The cubic root of 242602400 is about 623.6846148947.

Adding to 242602400 its reverse (4206242), we get a palindrome (246808642).

The spelling of 242602400 in words is "two hundred forty-two million, six hundred two thousand, four hundred".