214278960 has 320 divisors, whose sum is σ = 821376000. Its totient is φ = 46061568.

The previous prime is 214278959. The next prime is 214278983. The reversal of 214278960 is 69872412.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1564012 + ... + 1564148.

It is an arithmetic number, because the mean of its divisors is an integer number (2566800).

Almost surely, 2^214278960 is an apocalyptic number.

214278960 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 214278960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410688000).

214278960 is an abundant number, since it is smaller than the sum of its proper divisors (607097040).

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

214278960 is a wasteful number, since it uses less digits than its factorization.

214278960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 214278960 is about 14638.2703896328. The cubic root of 214278960 is about 598.4021932441.

The spelling of 214278960 in words is "two hundred fourteen million, two hundred seventy-eight thousand, nine hundred sixty".