40408320 has 144 divisors (see below), whose sum is σ = 136866240. Its totient is φ = 10125312.

The previous prime is 40408289. The next prime is 40408321. The reversal of 40408320 is 2380404.

It is a happy number.

It is a super-3 number, since 3×40408320³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40408321) 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, 64971 + ... + 65589.

It is an arithmetic number, because the mean of its divisors is an integer number (950460).

Almost surely, 2^40408320 is an apocalyptic number.

40408320 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 40408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68433120).

40408320 is an abundant number, since it is smaller than the sum of its proper divisors (96457920).

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

40408320 is a wasteful number, since it uses less digits than its factorization.

40408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 40408320 is about 6356.7538885818. The cubic root of 40408320 is about 343.1549476020.

Adding to 40408320 its reverse (2380404), we get a palindrome (42788724).

The spelling of 40408320 in words is "forty million, four hundred eight thousand, three hundred twenty".