214007400 has 96 divisors (see below), whose sum is σ = 737155200. Its totient is φ = 57067200.

The previous prime is 214007399. The next prime is 214007461. The reversal of 214007400 is 4700412.

It is a happy number.

214007400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14416 + ... + 25215.

It is an arithmetic number, because the mean of its divisors is an integer number (7678700).

Almost surely, 2^214007400 is an apocalyptic number.

214007400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214007400 is an abundant number, since it is smaller than the sum of its proper divisors (523147800).

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

214007400 is a wasteful number, since it uses less digits than its factorization.

214007400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39656 (or 39641 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 214007400 is about 14628.9917629343. The cubic root of 214007400 is about 598.1492973689.

Adding to 214007400 its reverse (4700412), we get a palindrome (218707812).

The spelling of 214007400 in words is "two hundred fourteen million, seven thousand, four hundred".