214053504 has 64 divisors (see below), whose sum is σ = 649813440. Its totient is φ = 61157376.

The previous prime is 214053503. The next prime is 214053517. The reversal of 214053504 is 405350412.

214053504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×214053504³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214053503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37129 + ... + 42504.

It is an arithmetic number, because the mean of its divisors is an integer number (10153335).

Almost surely, 2^214053504 is an apocalyptic number.

214053504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214053504 is an abundant number, since it is smaller than the sum of its proper divisors (435759936).

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

214053504 is an equidigital number, since it uses as much as digits as its factorization.

214053504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79657 (or 79645 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 214053504 is about 14630.5674531099. The cubic root of 214053504 is about 598.1922477453.

The spelling of 214053504 in words is "two hundred fourteen million, fifty-three thousand, five hundred four".