414860020 has 24 divisors (see below), whose sum is σ = 871903368. Its totient is φ = 165811200.

The previous prime is 414859987. The next prime is 414860059. The reversal of 414860020 is 20068414.

It can be written as a sum of positive squares in 4 ways, for example, as 35545444 + 379314576 = 5962^2 + 19476^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19600 + ... + 34840.

It is an arithmetic number, because the mean of its divisors is an integer number (36329307).

Almost surely, 2^414860020 is an apocalyptic number.

It is an amenable number.

414860020 is an abundant number, since it is smaller than the sum of its proper divisors (457043348).

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

414860020 is a wasteful number, since it uses less digits than its factorization.

414860020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16611 (or 16609 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 414860020 is about 20368.1128237252. The cubic root of 414860020 is about 745.8197184314.

The spelling of 414860020 in words is "four hundred fourteen million, eight hundred sixty thousand, twenty".