214294752 has 72 divisors (see below), whose sum is σ = 696464496. Its totient is φ = 61226496.

The previous prime is 214294739. The next prime is 214294753. The reversal of 214294752 is 257492412.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214294753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51133 + ... + 55164.

It is an arithmetic number, because the mean of its divisors is an integer number (9673118).

Almost surely, 2^214294752 is an apocalyptic number.

It is an amenable number.

214294752 is an abundant number, since it is smaller than the sum of its proper divisors (482169744).

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

214294752 is a wasteful number, since it uses less digits than its factorization.

214294752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106320 (or 106309 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 214294752 is about 14638.8097876842. The cubic root of 214294752 is about 598.4168932957.

The spelling of 214294752 in words is "two hundred fourteen million, two hundred ninety-four thousand, seven hundred fifty-two".