40385052 has 72 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 12835200.

The previous prime is 40385029. The next prime is 40385063. The reversal of 40385052 is 25058304.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 105253 + ... + 105635.

It is an arithmetic number, because the mean of its divisors is an integer number (1485120).

Almost surely, 2^40385052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40385052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

40385052 is an abundant number, since it is smaller than the sum of its proper divisors (66543588).

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

40385052 is a wasteful number, since it uses less digits than its factorization.

40385052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 40385052 is about 6354.9234456443. The cubic root of 40385052 is about 343.0890695652.

The spelling of 40385052 in words is "forty million, three hundred eighty-five thousand, fifty-two".