242510400 has 252 divisors, whose sum is σ = 940911504. Its totient is φ = 58752000.

The previous prime is 242510371. The next prime is 242510407. The reversal of 242510400 is 4015242.

It is a super-2 number, since 2×242510400² = 117622588216320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (242510407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157635 + ... + 159165.

Almost surely, 2^242510400 is an apocalyptic number.

242510400 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 242510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470455752).

242510400 is an abundant number, since it is smaller than the sum of its proper divisors (698401104).

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

242510400 is a wasteful number, since it uses less digits than its factorization.

242510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 242510400 is about 15572.7454226928. The cubic root of 242510400 is about 623.6057667613.

Adding to 242510400 its reverse (4015242), we get a palindrome (246525642).

The spelling of 242510400 in words is "two hundred forty-two million, five hundred ten thousand, four hundred".