40385800 has 144 divisors (see below), whose sum is σ = 118000260. Its totient is φ = 12741120.

The previous prime is 40385783. The next prime is 40385803. The reversal of 40385800 is 858304.

It can be written as a sum of positive squares in 6 ways, for example, as 1223236 + 39162564 = 1106^2 + 6258^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (40385803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127242 + ... + 127558.

Almost surely, 2^40385800 is an apocalyptic number.

40385800 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 40385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59000130).

40385800 is an abundant number, since it is smaller than the sum of its proper divisors (77614460).

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

40385800 is a wasteful number, since it uses less digits than its factorization.

40385800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 40385800 is about 6354.9822973790. The cubic root of 40385800 is about 343.0911877503.

The spelling of 40385800 in words is "forty million, three hundred eighty-five thousand, eight hundred".