214140400 has 30 divisors (see below), whose sum is σ = 514473272. Its totient is φ = 85656000.

The previous prime is 214140397. The next prime is 214140457. The reversal of 214140400 is 4041412.

It is a super-2 number, since 2×214140400² = 91712221824320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267276 + ... + 268075.

Almost surely, 2^214140400 is an apocalyptic number.

214140400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214140400 is an abundant number, since it is smaller than the sum of its proper divisors (300332872).

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

214140400 is a wasteful number, since it uses less digits than its factorization.

214140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535369 (or 535358 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 214140400 is about 14633.5368247051. The cubic root of 214140400 is about 598.2731830882.

Adding to 214140400 its reverse (4041412), we get a palindrome (218181812).

The spelling of 214140400 in words is "two hundred fourteen million, one hundred forty thousand, four hundred".