214354404 has 144 divisors (see below), whose sum is σ = 625632000. Its totient is φ = 63391680.

The previous prime is 214354381. The next prime is 214354471. The reversal of 214354404 is 404453412.

It is a happy number.

214354404 is a `hidden beast` number, since 214 + 3 + 5 + 440 + 4 = 666.

214354404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 11.

It is a zygodrome in base 3 and base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614022 + ... + 614370.

Almost surely, 2^214354404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214354404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312816000).

214354404 is an abundant number, since it is smaller than the sum of its proper divisors (411277596).

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

214354404 is a wasteful number, since it uses less digits than its factorization.

214354404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 214354404 is about 14640.8471066397. The cubic root of 214354404 is about 598.4724141028.

The spelling of 214354404 in words is "two hundred fourteen million, three hundred fifty-four thousand, four hundred four".