240405000 has 320 divisors, whose sum is σ = 863723520. Its totient is φ = 55200000.

The previous prime is 240404981. The next prime is 240405001. The reversal of 240405000 is 504042.

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

It is not an unprimeable number, because it can be changed into a prime (240405001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5114977 + ... + 5115023.

It is an arithmetic number, because the mean of its divisors is an integer number (2699136).

Almost surely, 2^240405000 is an apocalyptic number.

240405000 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 240405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431861760).

240405000 is an abundant number, since it is smaller than the sum of its proper divisors (623318520).

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

240405000 is a wasteful number, since it uses less digits than its factorization.

240405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 240405000 is about 15504.9991938084. Note that the first 3 decimals coincide. The cubic root of 240405000 is about 621.7958684023.

Adding to 240405000 its reverse (504042), we get a palindrome (240909042).

The spelling of 240405000 in words is "two hundred forty million, four hundred five thousand".