214408832 has 128 divisors (see below), whose sum is σ = 495720000. Its totient is φ = 91463680.

The previous prime is 214408819. The next prime is 214408841. The reversal of 214408832 is 238804412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×214408832² = 91942294479208448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2409044 + ... + 2409132.

Almost surely, 2^214408832 is an apocalyptic number.

214408832 is a gapful number since it is divisible by the number (22) 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 214408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247860000).

214408832 is an abundant number, since it is smaller than the sum of its proper divisors (281311168).

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

214408832 is a wasteful number, since it uses less digits than its factorization.

214408832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 214408832 is about 14642.7057608900. The cubic root of 214408832 is about 598.5230637114.

The spelling of 214408832 in words is "two hundred fourteen million, four hundred eight thousand, eight hundred thirty-two".