214612448 has 96 divisors (see below), whose sum is σ = 471744000. Its totient is φ = 95648256.

The previous prime is 214612439. The next prime is 214612477. The reversal of 214612448 is 844216412.

214612448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1440278 + ... + 1440426.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^214612448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214612448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

214612448 is an abundant number, since it is smaller than the sum of its proper divisors (257131552).

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

214612448 is a wasteful number, since it uses less digits than its factorization.

214612448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 214612448 is about 14649.6569243105. The cubic root of 214612448 is about 598.7124687112.

The spelling of 214612448 in words is "two hundred fourteen million, six hundred twelve thousand, four hundred forty-eight".