214254960 has 80 divisors (see below), whose sum is σ = 675492480. Its totient is φ = 56162560.

The previous prime is 214254941. The next prime is 214254973. The reversal of 214254960 is 69452412.

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

It is a congruent number.

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, 6595 + ... + 21725.

It is an arithmetic number, because the mean of its divisors is an integer number (8443656).

Almost surely, 2^214254960 is an apocalyptic number.

214254960 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 214254960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337746240).

214254960 is an abundant number, since it is smaller than the sum of its proper divisors (461237520).

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

214254960 is a wasteful number, since it uses less digits than its factorization.

214254960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15206 (or 15200 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 214254960 is about 14637.4505976963. The cubic root of 214254960 is about 598.3798513572.

The spelling of 214254960 in words is "two hundred fourteen million, two hundred fifty-four thousand, nine hundred sixty".