240406000 has 80 divisors (see below), whose sum is σ = 589837248. Its totient is φ = 94752000.

The previous prime is 240405973. The next prime is 240406003. The reversal of 240406000 is 604042.

240406000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 (240406003) 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, 141154 + ... + 142846.

Almost surely, 2^240406000 is an apocalyptic number.

240406000 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 240406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294918624).

240406000 is an abundant number, since it is smaller than the sum of its proper divisors (349431248).

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

240406000 is a wasteful number, since it uses less digits than its factorization.

240406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 240406000 is about 15505.0314414386. The cubic root of 240406000 is about 621.7967305516.

The spelling of 240406000 in words is "two hundred forty million, four hundred six thousand".