214403040 has 72 divisors (see below), whose sum is σ = 731655288. Its totient is φ = 57173760.

The previous prime is 214403029. The next prime is 214403041. The reversal of 214403040 is 40304412.

214403040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×214403040² = 91937327122483200, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214403041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73006 + ... + 75885.

It is an arithmetic number, because the mean of its divisors is an integer number (10161879).

Almost surely, 2^214403040 is an apocalyptic number.

214403040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214403040 is an abundant number, since it is smaller than the sum of its proper divisors (517252248).

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

214403040 is a wasteful number, since it uses less digits than its factorization.

214403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148912 (or 148901 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 214403040 is about 14642.5079818998. The cubic root of 214403040 is about 598.5176741995.

Adding to 214403040 its reverse (40304412), we get a palindrome (254707452).

The spelling of 214403040 in words is "two hundred fourteen million, four hundred three thousand, forty".