214007408 has 20 divisors (see below), whose sum is σ = 425847000. Its totient is φ = 104111424.

The previous prime is 214007399. The next prime is 214007461. The reversal of 214007408 is 804700412.

214007408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180158 + ... + 181341.

It is an arithmetic number, because the mean of its divisors is an integer number (21292350).

Almost surely, 2^214007408 is an apocalyptic number.

It is an amenable number.

214007408 is a deficient number, since it is larger than the sum of its proper divisors (211839592).

214007408 is a wasteful number, since it uses less digits than its factorization.

214007408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361544 (or 361538 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 214007408 is about 14628.9920363640. The cubic root of 214007408 is about 598.1493048222.

The spelling of 214007408 in words is "two hundred fourteen million, seven thousand, four hundred eight".