214031400 has 96 divisors (see below), whose sum is σ = 723837600. Its totient is φ = 51884800.

The previous prime is 214031393. The next prime is 214031407. The reversal of 214031400 is 4130412.

It is an interprime number because it is at equal distance from previous prime (214031393) and next prime (214031407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214031400.

It is not an unprimeable number, because it can be changed into a prime (214031407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9615 + ... + 22814.

It is an arithmetic number, because the mean of its divisors is an integer number (7539975).

Almost surely, 2^214031400 is an apocalyptic number.

214031400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214031400 is an abundant number, since it is smaller than the sum of its proper divisors (509806200).

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

214031400 is a wasteful number, since it uses less digits than its factorization.

214031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32459 (or 32450 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 214031400 is about 14629.8120288676. The cubic root of 214031400 is about 598.1716564813.

Adding to 214031400 its reverse (4130412), we get a palindrome (218161812).

The spelling of 214031400 in words is "two hundred fourteen million, thirty-one thousand, four hundred".