40809384 has 192 divisors, whose sum is σ = 146240640. Its totient is φ = 9953280.

The previous prime is 40809323. The next prime is 40809407. The reversal of 40809384 is 48390804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94032 + ... + 94464.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^40809384 is an apocalyptic number.

40809384 is a gapful number since it is divisible by the number (44) 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 40809384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

40809384 is an abundant number, since it is smaller than the sum of its proper divisors (105431256).

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

40809384 is a wasteful number, since it uses less digits than its factorization.

40809384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40809384 is about 6388.2222879296. Note that the first 4 decimals coincide. The cubic root of 40809384 is about 344.2865153982.

The spelling of 40809384 in words is "forty million, eight hundred nine thousand, three hundred eighty-four".