214141408 has 48 divisors (see below), whose sum is σ = 473782176. Its totient is φ = 94533120.

The previous prime is 214141399. The next prime is 214141409. The reversal of 214141408 is 804141412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214141409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1623 + ... + 20758.

It is an arithmetic number, because the mean of its divisors is an integer number (9870462).

Almost surely, 2^214141408 is an apocalyptic number.

It is an amenable number.

214141408 is an abundant number, since it is smaller than the sum of its proper divisors (259640768).

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

214141408 is a wasteful number, since it uses less digits than its factorization.

214141408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22427 (or 22419 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 214141408 is about 14633.5712660991. The cubic root of 214141408 is about 598.2741218156.

It can be divided in two parts, 21414 and 1408, that added together give a palindrome (22822).

The spelling of 214141408 in words is "two hundred fourteen million, one hundred forty-one thousand, four hundred eight".