214413840 has 60 divisors (see below), whose sum is σ = 720075564. Its totient is φ = 57176832.

The previous prime is 214413839. The next prime is 214413863. The reversal of 214413840 is 48314412.

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 91470096 = 11088^2 + 9564^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×214413840³ (a number of 26 digits) contains 333 as substring.

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, 148179 + ... + 149618.

Almost surely, 2^214413840 is an apocalyptic number.

214413840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214413840 is an abundant number, since it is smaller than the sum of its proper divisors (505661724).

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

214413840 is a wasteful number, since it uses less digits than its factorization.

214413840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297816 (or 297807 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 214413840 is about 14642.8767665374. The cubic root of 214413840 is about 598.5277236254.

It can be divided in two parts, 21441 and 3840, that added together give a square (25281 = 159²).

The spelling of 214413840 in words is "two hundred fourteen million, four hundred thirteen thousand, eight hundred forty".