214814040 has 256 divisors, whose sum is σ = 798336000. Its totient is φ = 46061568.

The previous prime is 214814021. The next prime is 214814051. The reversal of 214814040 is 40418412.

It is a super-2 number, since 2×214814040² = 92290143562243200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214814040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 699567 + ... + 699873.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2^214814040 is an apocalyptic number.

214814040 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 214814040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

214814040 is an abundant number, since it is smaller than the sum of its proper divisors (583521960).

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

214814040 is a wasteful number, since it uses less digits than its factorization.

214814040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 214814040 is about 14656.5357434832. The cubic root of 214814040 is about 598.8998729893.

The spelling of 214814040 in words is "two hundred fourteen million, eight hundred fourteen thousand, forty".