40306752 has 168 divisors, whose sum is σ = 126796800. Its totient is φ = 12192768.

The previous prime is 40306687. The next prime is 40306757. The reversal of 40306752 is 25760304.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40306757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317313 + ... + 317439.

Almost surely, 2^40306752 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 40306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63398400).

40306752 is an abundant number, since it is smaller than the sum of its proper divisors (86490048).

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

40306752 is a wasteful number, since it uses less digits than its factorization.

40306752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 40306752 is about 6348.7598789055. The cubic root of 40306752 is about 342.8671949434.

The spelling of 40306752 in words is "forty million, three hundred six thousand, seven hundred fifty-two".