416311540 has 24 divisors (see below), whose sum is σ = 895579272. Its totient is φ = 162462720.

The previous prime is 416311537. The next prime is 416311541. The reversal of 416311540 is 45113614.

It can be written as a sum of positive squares in 4 ways, for example, as 6411024 + 409900516 = 2532^2 + 20246^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416311541) 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 7 ways as a sum of consecutive naturals, for example, 253029 + ... + 254668.

It is an arithmetic number, because the mean of its divisors is an integer number (37315803).

Almost surely, 2^416311540 is an apocalyptic number.

It is an amenable number.

416311540 is an abundant number, since it is smaller than the sum of its proper divisors (479267732).

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

416311540 is a wasteful number, since it uses less digits than its factorization.

416311540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507747 (or 507745 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 416311540 is about 20403.7138776253. The cubic root of 416311540 is about 746.6885352687.

The spelling of 416311540 in words is "four hundred sixteen million, three hundred eleven thousand, five hundred forty".