40984272 has 80 divisors (see below), whose sum is σ = 134455680. Its totient is φ = 11708928.

The previous prime is 40984259. The next prime is 40984277. The reversal of 40984272 is 27248904.

40984272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40984277) 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, 3753 + ... + 9800.

It is an arithmetic number, because the mean of its divisors is an integer number (1680696).

Almost surely, 2^40984272 is an apocalyptic number.

40984272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40984272 is an abundant number, since it is smaller than the sum of its proper divisors (93471408).

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

40984272 is a wasteful number, since it uses less digits than its factorization.

40984272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13577 (or 13565 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40984272 is about 6401.8959691641. The cubic root of 40984272 is about 344.7776260732. Note that the first 3 decimals are identical.

It can be divided in two parts, 409 and 84272, that added together give a square (84681 = 291²).

The spelling of 40984272 in words is "forty million, nine hundred eighty-four thousand, two hundred seventy-two".