214574000 has 80 divisors (see below), whose sum is σ = 549446976. Its totient is φ = 80768000.

The previous prime is 214573979. The next prime is 214574023. The reversal of 214574000 is 475412.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30845 + ... + 37155.

Almost surely, 2^214574000 is an apocalyptic number.

214574000 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 214574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274723488).

214574000 is an abundant number, since it is smaller than the sum of its proper divisors (334872976).

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

214574000 is a wasteful number, since it uses less digits than its factorization.

214574000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 214574000 is about 14648.3446163722. The cubic root of 214574000 is about 598.6767132957.

The spelling of 214574000 in words is "two hundred fourteen million, five hundred seventy-four thousand".