40457536 has 112 divisors (see below), whose sum is σ = 99568000. Its totient is φ = 16257024.

The previous prime is 40457519. The next prime is 40457551. The reversal of 40457536 is 63575404.

40457536 = T₃₀₄ + T₃₀₅ + ... + T₆₄₆.

It is a happy number.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417040 + ... + 417136.

It is an arithmetic number, because the mean of its divisors is an integer number (889000).

Almost surely, 2^40457536 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 40457536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49784000).

40457536 is an abundant number, since it is smaller than the sum of its proper divisors (59110464).

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

40457536 is an equidigital number, since it uses as much as digits as its factorization.

40457536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 40457536 is about 6360.6238687726. The cubic root of 40457536 is about 343.2942082122.

The spelling of 40457536 in words is "forty million, four hundred fifty-seven thousand, five hundred thirty-six".