214079040 has 504 divisors, whose sum is σ = 901168632. Its totient is φ = 46448640.

The previous prime is 214079039. The next prime is 214079053. The reversal of 214079040 is 40970412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14930496 + 199148544 = 3864^2 + 14112^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 214078995 and 214079013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5221420 + ... + 5221460.

It is an arithmetic number, because the mean of its divisors is an integer number (1788033).

Almost surely, 2^214079040 is an apocalyptic number.

214079040 is a gapful number since it is divisible by the number (20) 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 214079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450584316).

214079040 is an abundant number, since it is smaller than the sum of its proper divisors (687089592).

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

214079040 is a wasteful number, since it uses less digits than its factorization.

214079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 214079040 is about 14631.4401205076. The cubic root of 214079040 is about 598.2160343680.

The spelling of 214079040 in words is "two hundred fourteen million, seventy-nine thousand, forty".