214304896 has 64 divisors (see below), whose sum is σ = 475738200. Its totient is φ = 95477760.

The previous prime is 214304887. The next prime is 214304911. The reversal of 214304896 is 698403412.

It can be written as a sum of positive squares in 4 ways, for example, as 139240000 + 75064896 = 11800^2 + 8664^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46036 + ... + 50476.

Almost surely, 2^214304896 is an apocalyptic number.

214304896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237869100).

214304896 is an abundant number, since it is smaller than the sum of its proper divisors (261433304).

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

214304896 is a wasteful number, since it uses less digits than its factorization.

214304896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4485 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 214304896 is about 14639.1562598396. The cubic root of 214304896 is about 598.4263355011.

The spelling of 214304896 in words is "two hundred fourteen million, three hundred four thousand, eight hundred ninety-six".