416503040 has 72 divisors (see below), whose sum is σ = 1011927168. Its totient is φ = 164218880.

The previous prime is 416503037. The next prime is 416503069. The reversal of 416503040 is 40305614.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 416502997 and 416503015.

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 7 ways as a sum of consecutive naturals, for example, 88589 + ... + 93171.

It is an arithmetic number, because the mean of its divisors is an integer number (14054544).

Almost surely, 2^416503040 is an apocalyptic number.

416503040 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 416503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505963584).

416503040 is an abundant number, since it is smaller than the sum of its proper divisors (595424128).

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

416503040 is an equidigital number, since it uses as much as digits as its factorization.

416503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 416503040 is about 20408.4061112082. The cubic root of 416503040 is about 746.8030079824.

Adding to 416503040 its reverse (40305614), we get a palindrome (456808654).

The spelling of 416503040 in words is "four hundred sixteen million, five hundred three thousand, forty".