214470464 has 84 divisors (see below), whose sum is σ = 468538560. Its totient is φ = 97344000.

The previous prime is 214470437. The next prime is 214470491. The reversal of 214470464 is 464074412.

It is an interprime number because it is at equal distance from previous prime (214470437) and next prime (214470491).

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

It is a self number, because there is not a number n which added to its sum of digits gives 214470464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 854339 + ... + 854589.

It is an arithmetic number, because the mean of its divisors is an integer number (5577840).

Almost surely, 2^214470464 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 214470464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234269280).

214470464 is an abundant number, since it is smaller than the sum of its proper divisors (254068096).

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

214470464 is a wasteful number, since it uses less digits than its factorization.

214470464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 214470464 is about 14644.8101387488. The cubic root of 214470464 is about 598.5804068708.

The spelling of 214470464 in words is "two hundred fourteen million, four hundred seventy thousand, four hundred sixty-four".