214505424 has 120 divisors (see below), whose sum is σ = 689703872. Its totient is φ = 60963840.

The previous prime is 214505407. The next prime is 214505471. The reversal of 214505424 is 424505412.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 242487 + ... + 243369.

Almost surely, 2^214505424 is an apocalyptic number.

214505424 is a gapful number since it is divisible by the number (24) 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 214505424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344851936).

214505424 is an abundant number, since it is smaller than the sum of its proper divisors (475198448).

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

214505424 is a wasteful number, since it uses less digits than its factorization.

214505424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 214505424 is about 14646.0036870131. The cubic root of 214505424 is about 598.6129291953.

The spelling of 214505424 in words is "two hundred fourteen million, five hundred five thousand, four hundred twenty-four".