240120400 has 120 divisors (see below), whose sum is σ = 632284184. Its totient is φ = 87091200.

The previous prime is 240120341. The next prime is 240120403. The reversal of 240120400 is 4021042.

It can be written as a sum of positive squares in 12 ways, for example, as 163942416 + 76177984 = 12804^2 + 8728^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240120403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316822 + ... + 317578.

Almost surely, 2^240120400 is an apocalyptic number.

240120400 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 240120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316142092).

240120400 is an abundant number, since it is smaller than the sum of its proper divisors (392163784).

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

240120400 is a wasteful number, since it uses less digits than its factorization.

240120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 240120400 is about 15495.8187908868. The cubic root of 240120400 is about 621.5504034829.

Adding to 240120400 its reverse (4021042), we get a palindrome (244141442).

It can be divided in two parts, 2401 and 20400, that added together give a square (22801 = 151²).

The spelling of 240120400 in words is "two hundred forty million, one hundred twenty thousand, four hundred".