214907472 has 160 divisors (see below), whose sum is σ = 703704960. Its totient is φ = 62208000.

The previous prime is 214907471. The next prime is 214907479. The reversal of 214907472 is 274709412.

214907472 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 (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214907471) 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, 94347 + ... + 96597.

It is an arithmetic number, because the mean of its divisors is an integer number (4398156).

Almost surely, 2^214907472 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 214907472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351852480).

214907472 is an abundant number, since it is smaller than the sum of its proper divisors (488797488).

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

214907472 is a wasteful number, since it uses less digits than its factorization.

214907472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 214907472 is about 14659.7227804621. The cubic root of 214907472 is about 598.9866896336.

The spelling of 214907472 in words is "two hundred fourteen million, nine hundred seven thousand, four hundred seventy-two".