415807028 has 48 divisors (see below), whose sum is σ = 897617280. Its totient is φ = 164121984.

The previous prime is 415807013. The next prime is 415807037. The reversal of 415807028 is 820708514.

It is a congruent number.

It is an unprimeable number.

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, 203918 + ... + 205946.

It is an arithmetic number, because the mean of its divisors is an integer number (18700360).

Almost surely, 2^415807028 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 415807028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448808640).

415807028 is an abundant number, since it is smaller than the sum of its proper divisors (481810252).

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

415807028 is a wasteful number, since it uses less digits than its factorization.

415807028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 415807028 is about 20391.3468902866. The cubic root of 415807028 is about 746.3867856033.

The spelling of 415807028 in words is "four hundred fifteen million, eight hundred seven thousand, twenty-eight".