242520400 has 30 divisors (see below), whose sum is σ = 582656222. Its totient is φ = 97008000.

The previous prime is 242520391. The next prime is 242520403. The reversal of 242520400 is 4025242.

It can be written as a sum of positive squares in 3 ways, for example, as 62853184 + 179667216 = 7928^2 + 13404^2 .

It is a super-2 number, since 2×242520400² = 117632288832320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242520403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 302751 + ... + 303550.

Almost surely, 2^242520400 is an apocalyptic number.

242520400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242520400 is an abundant number, since it is smaller than the sum of its proper divisors (340135822).

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

242520400 is a wasteful number, since it uses less digits than its factorization.

242520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606319 (or 606308 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 242520400 is about 15573.0664931477. The cubic root of 242520400 is about 623.6143381764.

Adding to 242520400 its reverse (4025242), we get a palindrome (246545642).

The spelling of 242520400 in words is "two hundred forty-two million, five hundred twenty thousand, four hundred".