40259328 has 144 divisors (see below), whose sum is σ = 117734400. Its totient is φ = 12165120.

The previous prime is 40259327. The next prime is 40259333. The reversal of 40259328 is 82395204.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40259327) 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, 452308 + ... + 452396.

It is an arithmetic number, because the mean of its divisors is an integer number (817600).

Almost surely, 2^40259328 is an apocalyptic number.

40259328 is a gapful number since it is divisible by the number (48) 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 40259328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58867200).

40259328 is an abundant number, since it is smaller than the sum of its proper divisors (77475072).

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

40259328 is a wasteful number, since it uses less digits than its factorization.

40259328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 40259328 is about 6345.0238770236. The cubic root of 40259328 is about 342.7326722781.

The spelling of 40259328 in words is "forty million, two hundred fifty-nine thousand, three hundred twenty-eight".