415384020 has 36 divisors (see below), whose sum is σ = 1259998740. Its totient is φ = 110769024.

The previous prime is 415384007. The next prime is 415384027. The reversal of 415384020 is 20483514.

It can be written as a sum of positive squares in 2 ways, for example, as 314140176 + 101243844 = 17724^2 + 10062^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415384027) by changing a digit.

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, 1153665 + ... + 1154024.

It is an arithmetic number, because the mean of its divisors is an integer number (34999965).

Almost surely, 2^415384020 is an apocalyptic number.

It is an amenable number.

415384020 is an abundant number, since it is smaller than the sum of its proper divisors (844614720).

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

415384020 is a wasteful number, since it uses less digits than its factorization.

415384020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307704 (or 2307699 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 415384020 is about 20380.9720082237. The cubic root of 415384020 is about 746.1335954728.

The spelling of 415384020 in words is "four hundred fifteen million, three hundred eighty-four thousand, twenty".