214461000 has 384 divisors, whose sum is σ = 822182400. Its totient is φ = 51667200.

The previous prime is 214460989. The next prime is 214461011. The reversal of 214461000 is 164412.

It is an interprime number because it is at equal distance from previous prime (214460989) and next prime (214461011).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4562977 + ... + 4563023.

It is an arithmetic number, because the mean of its divisors is an integer number (2141100).

Almost surely, 2^214461000 is an apocalyptic number.

214461000 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 214461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411091200).

214461000 is an abundant number, since it is smaller than the sum of its proper divisors (607721400).

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

214461000 is a wasteful number, since it uses less digits than its factorization.

214461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214461000 is about 14644.4870173045. The cubic root of 214461000 is about 598.5716021645.

The spelling of 214461000 in words is "two hundred fourteen million, four hundred sixty-one thousand".