240730400 has 72 divisors (see below), whose sum is σ = 597438324. Its totient is φ = 94694400.

The previous prime is 240730379. The next prime is 240730403. The reversal of 240730400 is 4037042.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14167696 + 226562704 = 3764^2 + 15052^2 .

It is a super-2 number, since 2×240730400² = 115902250968320000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (240730403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46334 + ... + 51266.

Almost surely, 2^240730400 is an apocalyptic number.

240730400 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 240730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298719162).

240730400 is an abundant number, since it is smaller than the sum of its proper divisors (356707924).

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

240730400 is a wasteful number, since it uses less digits than its factorization.

240730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 240730400 is about 15515.4890351545. The cubic root of 240730400 is about 622.0762856915.

Adding to 240730400 its reverse (4037042), we get a palindrome (244767442).

The spelling of 240730400 in words is "two hundred forty million, seven hundred thirty thousand, four hundred".