40446672 has 160 divisors (see below), whose sum is σ = 129491712. Its totient is φ = 10616832.

The previous prime is 40446671. The next prime is 40446713. The reversal of 40446672 is 27664404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40446671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416928 + ... + 417024.

Almost surely, 2^40446672 is an apocalyptic number.

40446672 is a gapful number since it is divisible by the number (42) 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 40446672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64745856).

40446672 is an abundant number, since it is smaller than the sum of its proper divisors (89045040).

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

40446672 is a wasteful number, since it uses less digits than its factorization.

40446672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 40446672 is about 6359.7698071550. The cubic root of 40446672 is about 343.2634773725.

The spelling of 40446672 in words is "forty million, four hundred forty-six thousand, six hundred seventy-two".