40630464 has 112 divisors (see below), whose sum is σ = 136550400. Its totient is φ = 11605248.

The previous prime is 40630463. The next prime is 40630481. The reversal of 40630464 is 46403604.

It is a happy number.

40630464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40630463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10417 + ... + 13775.

It is an arithmetic number, because the mean of its divisors is an integer number (1219200).

Almost surely, 2^40630464 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 40630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68275200).

40630464 is an abundant number, since it is smaller than the sum of its proper divisors (95919936).

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

40630464 is a wasteful number, since it uses less digits than its factorization.

40630464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 40630464 is about 6374.2030090043. The cubic root of 40630464 is about 343.7826281315.

The spelling of 40630464 in words is "forty million, six hundred thirty thousand, four hundred sixty-four".