415120820 has 12 divisors (see below), whose sum is σ = 871753764. Its totient is φ = 166048320.

The previous prime is 415120801. The next prime is 415120843. The reversal of 415120820 is 28021514.

It can be written as a sum of positive squares in 2 ways, for example, as 247055524 + 168065296 = 15718^2 + 12964^2 .

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, 10378001 + ... + 10378040.

It is an arithmetic number, because the mean of its divisors is an integer number (72646147).

Almost surely, 2^415120820 is an apocalyptic number.

It is an amenable number.

415120820 is an abundant number, since it is smaller than the sum of its proper divisors (456632944).

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

415120820 is a wasteful number, since it uses less digits than its factorization.

415120820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20756050 (or 20756048 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 415120820 is about 20374.5139819334. The cubic root of 415120820 is about 745.9759711657.

The spelling of 415120820 in words is "four hundred fifteen million, one hundred twenty thousand, eight hundred twenty".