240426000 has 360 divisors, whose sum is σ = 910202904. Its totient is φ = 59097600.

The previous prime is 240425989. The next prime is 240426007. The reversal of 240426000 is 624042.

240426000 is a `hidden beast` number, since 2 + 404 + 260 + 0 + 0 = 666.

240426000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 240374016 = 228^2 + 15504^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×240426000² = 115609322952000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (240426007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6497982 + ... + 6498018.

Almost surely, 2^240426000 is an apocalyptic number.

240426000 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 240426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455101452).

240426000 is an abundant number, since it is smaller than the sum of its proper divisors (669776904).

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

240426000 is a wasteful number, since it uses less digits than its factorization.

240426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 240426000 is about 15505.6763799584. The cubic root of 240426000 is about 621.8139730355.

The spelling of 240426000 in words is "two hundred forty million, four hundred twenty-six thousand".