40457920 has 84 divisors (see below), whose sum is σ = 101132640. Its totient is φ = 15414784.

The previous prime is 40457917. The next prime is 40457941. The reversal of 40457920 is 2975404.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 169161 + ... + 169399.

It is an arithmetic number, because the mean of its divisors is an integer number (1203960).

Almost surely, 2^40457920 is an apocalyptic number.

40457920 is a gapful number since it is divisible by the number (40) 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 40457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50566320).

40457920 is an abundant number, since it is smaller than the sum of its proper divisors (60674720).

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

40457920 is a wasteful number, since it uses less digits than its factorization.

40457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 40457920 is about 6360.6540544192. The cubic root of 40457920 is about 343.2952943268.

The spelling of 40457920 in words is "forty million, four hundred fifty-seven thousand, nine hundred twenty".