214391040 has 144 divisors (see below), whose sum is σ = 707191296. Its totient is φ = 55296000.

The previous prime is 214391033. The next prime is 214391059. The reversal of 214391040 is 40193412.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 214391040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118140 + ... + 119940.

Almost surely, 2^214391040 is an apocalyptic number.

214391040 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 214391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353595648).

214391040 is an abundant number, since it is smaller than the sum of its proper divisors (492800256).

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

214391040 is a wasteful number, since it uses less digits than its factorization.

214391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 214391040 is about 14642.0982102976. The cubic root of 214391040 is about 598.5065077750.

The spelling of 214391040 in words is "two hundred fourteen million, three hundred ninety-one thousand, forty".