214216464 has 160 divisors (see below), whose sum is σ = 697098240. Its totient is φ = 55524480.

The previous prime is 214216463. The next prime is 214216477. The reversal of 214216464 is 464612412.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214216463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446977 + ... + 447455.

It is an arithmetic number, because the mean of its divisors is an integer number (4356864).

Almost surely, 2^214216464 is an apocalyptic number.

214216464 is a gapful number since it is divisible by the number (24) 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 214216464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348549120).

214216464 is an abundant number, since it is smaller than the sum of its proper divisors (482881776).

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

214216464 is a wasteful number, since it uses less digits than its factorization.

214216464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 502 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 214216464 is about 14636.1355555351. The cubic root of 214216464 is about 598.3440114860.

Adding to 214216464 its reverse (464612412), we get a palindrome (678828876).

The spelling of 214216464 in words is "two hundred fourteen million, two hundred sixteen thousand, four hundred sixty-four".