240424000 has 112 divisors (see below), whose sum is σ = 610764336. Its totient is φ = 93696000.

The previous prime is 240423983. The next prime is 240424001. The reversal of 240424000 is 424042.

It can be written as a sum of positive squares in 8 ways, for example, as 69755904 + 170668096 = 8352^2 + 13064^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240424001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327634 + ... + 328366.

It is an arithmetic number, because the mean of its divisors is an integer number (5453253).

Almost surely, 2^240424000 is an apocalyptic number.

240424000 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 240424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305382168).

240424000 is an abundant number, since it is smaller than the sum of its proper divisors (370340336).

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

240424000 is an equidigital number, since it uses as much as digits as its factorization.

240424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 240424000 is about 15505.6118873136. The cubic root of 240424000 is about 621.8122488301.

Adding to 240424000 its reverse (424042), we get a palindrome (240848042).

The spelling of 240424000 in words is "two hundred forty million, four hundred twenty-four thousand".