214949280 has 576 divisors, whose sum is σ = 916997760. Its totient is φ = 41803776.

The previous prime is 214949269. The next prime is 214949281. The reversal of 214949280 is 82949412.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (214949281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5809422 + ... + 5809458.

It is an arithmetic number, because the mean of its divisors is an integer number (1592010).

Almost surely, 2^214949280 is an apocalyptic number.

214949280 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 214949280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458498880).

214949280 is an abundant number, since it is smaller than the sum of its proper divisors (702048480).

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

214949280 is a wasteful number, since it uses less digits than its factorization.

214949280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 214949280 is about 14661.1486589558. The cubic root of 214949280 is about 599.0255293127.

The spelling of 214949280 in words is "two hundred fourteen million, nine hundred forty-nine thousand, two hundred eighty".