42654240 has 144 divisors (see below), whose sum is σ = 153316800. Its totient is φ = 10768896.

The previous prime is 42654217. The next prime is 42654247. The reversal of 42654240 is 4245624.

42654240 is a `hidden beast` number, since 4 + 2 + 654 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (42654247) 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, 26581 + ... + 28139.

It is an arithmetic number, because the mean of its divisors is an integer number (1064700).

Almost surely, 2^42654240 is an apocalyptic number.

42654240 is a gapful number since it is divisible by the number (40) 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 42654240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76658400).

42654240 is an abundant number, since it is smaller than the sum of its proper divisors (110662560).

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

42654240 is a wasteful number, since it uses less digits than its factorization.

42654240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42654240 is about 6531.0213596343. The cubic root of 42654240 is about 349.3982585591.

Adding to 42654240 its reverse (4245624), we get a palindrome (46899864).

The spelling of 42654240 in words is "forty-two million, six hundred fifty-four thousand, two hundred forty".