415213520 has 20 divisors (see below), whose sum is σ = 965371620. Its totient is φ = 166085376.

The previous prime is 415213511. The next prime is 415213531. The reversal of 415213520 is 25312514.

It can be written as a sum of positive squares in 2 ways, for example, as 100080016 + 315133504 = 10004^2 + 17752^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2595005 + ... + 2595164.

It is an arithmetic number, because the mean of its divisors is an integer number (48268581).

Almost surely, 2^415213520 is an apocalyptic number.

415213520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415213520 is an abundant number, since it is smaller than the sum of its proper divisors (550158100).

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

415213520 is a wasteful number, since it uses less digits than its factorization.

415213520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190182 (or 5190176 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 415213520 is about 20376.7887558369. The cubic root of 415213520 is about 746.0314946201.

The spelling of 415213520 in words is "four hundred fifteen million, two hundred thirteen thousand, five hundred twenty".