214420401 has 12 divisors (see below), whose sum is σ = 333543028. Its totient is φ = 131950944.

The previous prime is 214420379. The next prime is 214420411. The reversal of 214420401 is 104024412.

It can be written as a sum of positive squares in 2 ways, for example, as 15610401 + 198810000 = 3951^2 + 14100^2 .

It is not a de Polignac number, because 214420401 - 2⁵ = 214420369 is a prime.

It is a super-2 number, since 2×214420401² = 91952216730001602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214420411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 916210 + ... + 916443.

Almost surely, 2^214420401 is an apocalyptic number.

It is an amenable number.

214420401 is a deficient number, since it is larger than the sum of its proper divisors (119122627).

214420401 is a wasteful number, since it uses less digits than its factorization.

214420401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832672 (or 1832669 counting only the distinct ones).

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

The square root of 214420401 is about 14643.1007986697. The cubic root of 214420401 is about 598.5338284868.

Adding to 214420401 its reverse (104024412), we get a palindrome (318444813).

The spelling of 214420401 in words is "two hundred fourteen million, four hundred twenty thousand, four hundred one".