414201420 has 36 divisors (see below), whose sum is σ = 1256411520. Its totient is φ = 110453664.

The previous prime is 414201401. The next prime is 414201439. The reversal of 414201420 is 24102414.

414201420 is a `hidden beast` number, since 41 + 4 + 201 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (414201401) and next prime (414201439).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 414201393 and 414201402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1150380 + ... + 1150739.

It is an arithmetic number, because the mean of its divisors is an integer number (34900320).

Almost surely, 2^414201420 is an apocalyptic number.

It is an amenable number.

414201420 is an abundant number, since it is smaller than the sum of its proper divisors (842210100).

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

414201420 is a wasteful number, since it uses less digits than its factorization.

414201420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301134 (or 2301129 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 414201420 is about 20351.9389739651. The cubic root of 414201420 is about 745.4248406403.

Adding to 414201420 its reverse (24102414), we get a palindrome (438303834).

The spelling of 414201420 in words is "four hundred fourteen million, two hundred one thousand, four hundred twenty".