40972384 has 48 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 19423360.

The previous prime is 40972279. The next prime is 40972403. The reversal of 40972384 is 48327904.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131589 + ... + 131899.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^40972384 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 40972384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

40972384 is an abundant number, since it is smaller than the sum of its proper divisors (43941536).

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

40972384 is a wasteful number, since it uses less digits than its factorization.

40972384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 40972384 is about 6400.9674268817. The cubic root of 40972384 is about 344.7442871639.

The spelling of 40972384 in words is "forty million, nine hundred seventy-two thousand, three hundred eighty-four".