240115200 has 360 divisors, whose sum is σ = 882128808. Its totient is φ = 57507840.

The previous prime is 240115199. The next prime is 240115201. The reversal of 240115200 is 2511042.

240115200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240115199) and next prime (240115201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 240115200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240115201) 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, 6489582 + ... + 6489618.

Almost surely, 2^240115200 is an apocalyptic number.

240115200 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 240115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441064404).

240115200 is an abundant number, since it is smaller than the sum of its proper divisors (642013608).

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

240115200 is a wasteful number, since it uses less digits than its factorization.

240115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 240115200 is about 15495.6510027814. The cubic root of 240115200 is about 621.5459167262.

Adding to 240115200 its reverse (2511042), we get a palindrome (242626242).

It can be divided in two parts, 240 and 115200, that added together give a triangular number (115440 = T₄₈₀).

The spelling of 240115200 in words is "two hundred forty million, one hundred fifteen thousand, two hundred".