214851400 has 48 divisors (see below), whose sum is σ = 508979700. Its totient is φ = 84314880.

The previous prime is 214851353. The next prime is 214851431. The reversal of 214851400 is 4158412.

It can be written as a sum of positive squares in 6 ways, for example, as 132296004 + 82555396 = 11502^2 + 9086^2 .

It is a super-2 number, since 2×214851400² = 92322248163920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466 + ... + 20734.

Almost surely, 2^214851400 is an apocalyptic number.

214851400 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 214851400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254489850).

214851400 is an abundant number, since it is smaller than the sum of its proper divisors (294128300).

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

214851400 is a wasteful number, since it uses less digits than its factorization.

214851400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20338 (or 20329 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 214851400 is about 14657.8102048021. The cubic root of 214851400 is about 598.9345907732.

The spelling of 214851400 in words is "two hundred fourteen million, eight hundred fifty-one thousand, four hundred".