214674400 has 36 divisors (see below), whose sum is σ = 524075832. Its totient is φ = 85869440.

The previous prime is 214674371. The next prime is 214674409. The reversal of 214674400 is 4476412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214674409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133372 + ... + 134971.

It is an arithmetic number, because the mean of its divisors is an integer number (14557662).

Almost surely, 2^214674400 is an apocalyptic number.

214674400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214674400 is an abundant number, since it is smaller than the sum of its proper divisors (309401432).

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

214674400 is a wasteful number, since it uses less digits than its factorization.

214674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268363 (or 268350 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 214674400 is about 14651.7712239852. The cubic root of 214674400 is about 598.7700731151.

The spelling of 214674400 in words is "two hundred fourteen million, six hundred seventy-four thousand, four hundred".