414210020 has 48 divisors (see below), whose sum is σ = 995272320. Its totient is φ = 141848064.

The previous prime is 414210019. The next prime is 414210023. The reversal of 414210020 is 20012414.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 414209977 and 414210004.

It is not an unprimeable number, because it can be changed into a prime (414210023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207467 + ... + 209453.

It is an arithmetic number, because the mean of its divisors is an integer number (20734840).

Almost surely, 2^414210020 is an apocalyptic number.

It is an amenable number.

414210020 is an abundant number, since it is smaller than the sum of its proper divisors (581062300).

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

414210020 is a wasteful number, since it uses less digits than its factorization.

414210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 414210020 is about 20352.1502549485. The cubic root of 414210020 is about 745.4299996515.

Adding to 414210020 its reverse (20012414), we get a palindrome (434222434).

The spelling of 414210020 in words is "four hundred fourteen million, two hundred ten thousand, twenty".