414315020 has 24 divisors (see below), whose sum is σ = 994356384. Its totient is φ = 142050816.

The previous prime is 414314983. The next prime is 414315037. The reversal of 414315020 is 20513414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 414314983 and 414315001.

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 7 ways as a sum of consecutive naturals, for example, 1479557 + ... + 1479836.

It is an arithmetic number, because the mean of its divisors is an integer number (41431516).

Almost surely, 2^414315020 is an apocalyptic number.

It is an amenable number.

414315020 is an abundant number, since it is smaller than the sum of its proper divisors (580041364).

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

414315020 is a wasteful number, since it uses less digits than its factorization.

414315020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959409 (or 2959407 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 414315020 is about 20354.7296715039. The cubic root of 414315020 is about 745.4929818211.

Adding to 414315020 its reverse (20513414), we get a palindrome (434828434).

The spelling of 414315020 in words is "four hundred fourteen million, three hundred fifteen thousand, twenty".