214413120 has 84 divisors (see below), whose sum is σ = 737501700. Its totient is φ = 57176064.

The previous prime is 214413103. The next prime is 214413131. The reversal of 214413120 is 21314412.

214413120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39538944 + 174874176 = 6288^2 + 13224^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214413093 and 214413102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34345 + ... + 40104.

Almost surely, 2^214413120 is an apocalyptic number.

214413120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214413120 is an abundant number, since it is smaller than the sum of its proper divisors (523088580).

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

214413120 is a wasteful number, since it uses less digits than its factorization.

214413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74472 (or 74459 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214413120 is about 14642.8521811838. The cubic root of 214413120 is about 598.5270536741.

Adding to 214413120 its reverse (21314412), we get a palindrome (235727532).

The spelling of 214413120 in words is "two hundred fourteen million, four hundred thirteen thousand, one hundred twenty".